Knowledge

Blocking (statistics)

Source 📝

349: 36: 7758: 5447: 4959: 1673: 361: 265: 209:: An experiment is designed to test the effects of a new pesticide on a specific patch of grass. The grass area contains a major elevation change and thus consists of two distinct regions – 'high elevation' and 'low elevation'. A treatment group (the new pesticide) and a placebo group are applied to both the high elevation and low elevation areas of grass. In this instance the researcher is blocking the elevation factor which may account for variability in the pesticide's application. 321: 7744: 4945: 235:. Both groups are then asked to use their shoes for a period of time, and then measure the degree of wear of the soles. This is a workable experimental design, but purely from the point of view of statistical accuracy (ignoring any other factors), a better design would be to give each person one regular sole and one new sole, randomly assigning the two types to the left and right shoe of each volunteer. Such a design is called a "randomized complete 257: 7782: 4983: 7770: 4971: 803:
the different dosages. The blocked way to run this experiment, assuming you can convince manufacturing to let you put four experimental wafers in a furnace run, would be to put four wafers with different dosages in each of three furnace runs. The only randomization would be choosing which of the three wafers with dosage 1 would go into furnace run 1, and similarly for the wafers with dosages 2, 3 and 4.
2129: 292:
In the first example provided above, the sex of the patient would be a nuisance variable. For example, consider if the drug was a diet pill and the researchers wanted to test the effect of the diet pills on weight loss. The explanatory variable is the diet pill and the response variable is the amount
154:
are usually of the least importance (think of the fact that temperature of a reactor or the batch of raw materials is more important than the combination of the two – this is especially true when more (3, 4, ...) factors are present); thus it is preferable to confound this variability with the higher
108:
that are similar to one another in groups (blocks) based on one or more variables. These variables are chosen carefully to minimize the impact of their variability on the observed outcomes. There are different ways that blocking can be implemented, resulting in different confounding effects. However,
802:
A non-blocked way to run this experiment would be to run each of the twelve experimental wafers, in random order, one per furnace run. That would increase the experimental error of each resistivity measurement by the run-to-run furnace variability and make it more difficult to study the effects of
798:
An ideal way to run this experiment would be to run all the 4x3=12 wafers in the same furnace run. That would eliminate the nuisance furnace factor completely. However, regular production wafers have furnace priority, and only a few experimental wafers are allowed into any furnace run at the same
390:
Blocking is used to remove the effects of a few of the most important nuisance variables. Randomization is then used to reduce the contaminating effects of the remaining nuisance variables. For important nuisance variables, blocking will yield higher significance in the variables of interest than
356:
In our previous diet pills example, a blocking factor could be the sex of a patient. We could put individuals into one of two blocks (male or female). And within each of the two blocks, we can randomly assign the patients to either the diet pill (treatment) or placebo pill (control).  By
272:
In the examples listed above, a nuisance variable is a variable that is not the primary focus of the study but can affect the outcomes of the experiment. They are considered potential sources of variability that, if not controlled or accounted for, may confound the interpretation between the
439:
You may choose to randomly assign experimental units to treatment conditions within each block which may help ensure that any unaccounted for variability is spread evenly across treatment groups. However, depending on how you assign treatments to blocks, you may obtain a different number of
791:
Suppose engineers at a semiconductor manufacturing facility want to test whether different wafer implant material dosages have a significant effect on resistivity measurements after a diffusion process taking place in a furnace. They have four different dosages they want to try and enough
373:
A nuisance factor is used as a blocking factor if every level of the primary factor occurs the same number of times with each level of the nuisance factor. The analysis of the experiment will focus on the effect of varying levels of the primary factor within each block of the experiment.
328:
When studying probability theory the blocks method consists of splitting a sample into blocks (groups) separated by smaller subblocks so that the blocks can be considered almost independent. The blocks method helps proving limit theorems in the case of dependent random variables.
456:, where a different effect gets confounded each time, the interaction effects are partially confounded instead of completely sacrificing one single effect. Replication enhances the reliability of results and allows for a more robust assessment of treatment effects. 288:
By using one of these methods to account for nuisance variables, researchers can enhance the internal validity of their experiments, ensuring that the effects observed are more likely attributable to the manipulated variables rather than extraneous influences.
137:
designs. Today, blocking still plays a pivotal role in experimental design, and in recent years, advancements in statistical software and computational capabilities have allowed researchers to explore more intricate blocking designs.
280:
To address nuisance variables, researchers can employ different methods such as blocking or randomization. Blocking involves grouping experimental units based on levels of the nuisance variable to control for its influence.
1261: 109:
the different methods share the same purpose: to control variability introduced by specific factors that could influence the outcome of an experiment. The roots of blocking originated from the statistician,
1572: 1460: 293:
of weight loss. Although the sex of the patient is not the main focus of the experiment—the effect of the drug is—it is possible that the sex of the individual will affect the amount of weight lost.
146:
Blocking reduces unexplained variability. Its principle lies in the fact that variability which cannot be overcome (e.g. needing two batches of raw material to produce 1 container of a chemical) is
125:
The use of blocking in experimental design has an evolving history that spans multiple disciplines. The foundational concepts of blocking date back to the early 20th century with statisticians like
2133: 133:(ANOVA) set the groundwork for grouping experimental units to control for extraneous variables. Blocking evolved over the years, leading to the formalization of randomized block designs and 1609: 1497: 1832: 1400: 440:
confounded effects. Therefore, the number of as well as which specific effects get confounded can be chosen which means that assigning treatments to blocks is superior over
767: 696: 648: 627: 606: 795:
The nuisance factor they are concerned with is "furnace run" since it is known that each furnace run differs from the last and impacts many process parameters.
2290: 8012: 2150: 215:: Suppose a process is invented that intends to make the soles of shoes last longer, and a plan is formed to conduct a field trial. Given a group of 1938:
Bernstein S.N. (1926) Sur l'extension du thĂ©orĂšme limite du calcul des probabilitĂ©s aux sommes de quantitĂ©s dĂ©pendantes. Math. Annalen, v. 97, 1–59.
427:
There are consequences to partitioning a certain sized experiment into a certain number of blocks as the number of blocks determines the number of
357:
blocking on sex, this source of variability is controlled, therefore, leading to greater interpretation of how the diet pills affect weight loss.
419:
Carefully choose blocking factors based on their relevance to the study as well as their potential to confound the primary factors of interest.
7820: 6879: 4080: 7384: 5021: 4585: 2253: 7534: 4735: 7158: 5799: 4359: 3000: 1163: 5346: 403:
involves a series of steps to effectively control for extraneous variables and enhance the precision of treatment effect estimates.
6932: 4133: 2216: 7371: 4572: 17: 1527: 1415: 1947:
Ibragimov I.A. and Linnik Yu.V. (1971) Independent and stationary sequences of random variables. Wolters-Noordhoff, Groningen.
2484: 2461: 2438: 2310: 2267: 1918: 1882: 1032:
An alternate way of summarizing the design trials would be to use a 4x3 matrix whose 4 rows are the levels of the treatment
5794: 5494: 2995: 2695: 2590: 6398: 5546: 5370: 3599: 2747: 1721: 1701: 1636: 274: 7981: 239:." This design will be more sensitive than the first, because each person is acting as his/her own control and thus the 8027: 7971: 7813: 2257: 7941: 7181: 7073: 5421: 5259: 5168: 5014: 4382: 4274: 2600: 2572: 2553: 2531: 2505: 2415: 2356: 2333: 79: 57: 50: 7786: 7359: 7233: 4987: 4560: 4434: 2182:
Addelman, S. (1970). "Variability of Treatments and Experimental Units in the Design and Analysis of Experiments".
1658: 8017: 150:
or aliased with a(n) (higher/highest order) interaction to eliminate its influence on the end product. High order
8048: 7417: 7078: 6823: 6194: 5784: 5434: 5142: 5128: 4618: 4279: 4024: 3395: 2985: 1706: 8069: 7468: 6680: 6487: 6376: 6334: 5439: 4669: 3881: 3688: 3577: 3535: 1577: 1465: 6408: 3609: 7991: 7806: 7711: 6670: 5573: 4912: 3871: 2774: 1145:
By extension, note that the trials for any K-factor randomized block design are simply the cell indices of a
8022: 8007: 7262: 7211: 7196: 7186: 7055: 6927: 6894: 6720: 6675: 6505: 5340: 5305: 5237: 5093: 5007: 4463: 4412: 4397: 4387: 4256: 4128: 4095: 3921: 3876: 3706: 1969:
Novak S.Y. (2011) Extreme Value Methods with Applications to Finance. Chapman & Hall/CRC Press, London.
470: 232: 7774: 7606: 7407: 7331: 6632: 6386: 6055: 5519: 5461: 5410: 5322: 4975: 4807: 4608: 4532: 3833: 3587: 3256: 2720: 333: 411:
Identify potential factors that are not the primary focus of the study but could introduce variability.
7491: 7463: 7458: 7206: 6965: 6871: 6851: 6759: 6470: 6288: 5771: 5643: 5218: 4692: 4664: 4659: 4407: 4166: 4072: 4052: 3960: 3671: 3489: 2972: 2844: 7223: 6991: 6712: 6637: 6566: 6495: 6415: 6403: 6273: 6261: 6254: 5962: 5683: 4424: 4192: 3913: 3838: 3767: 3696: 3616: 3604: 3474: 3462: 3455: 3163: 2884: 1960:(1983) Extremes and Related Properties of Random Sequences and Processes. New York: Springer Verlag. 1639:(GRBD) allow tests of block–treatment interaction, and has exactly one blocking factor like the RCBD. 1378: 1799: 7923: 7706: 7473: 7336: 7021: 6986: 6950: 6735: 6177: 6086: 6045: 5957: 5648: 5487: 5396: 5391: 5356: 5240: 5158: 5113: 5108: 4907: 4674: 4537: 4222: 4187: 4151: 3936: 3378: 3287: 3246: 3158: 2849: 2688: 1648: 453: 167:: An experiment is designed to test a new drug on patients. There are two levels of the treatment, 151: 44: 1645:(and other row–column designs) have two blocking factors that are believed to have no interaction. 7956: 7615: 7228: 7168: 7105: 6743: 6727: 6465: 6327: 6317: 6167: 6081: 5364: 4816: 4429: 4369: 4306: 3944: 3928: 3666: 3528: 3518: 3368: 3282: 2074:"Focus on Data: Statistical Design of Experiments and Sample Size Selection Using Power Analysis" 336:: The method was successfully applied in the theory of sums of dependent random variables and in 2641:"Some Consequences of randomization in a Generalization of the Balanced Incomplete Block Design" 313:
in groups (blocks) that are similar to one another. Typically, a blocking factor is a source of
7653: 7583: 7376: 7313: 7068: 6955: 5952: 5849: 5756: 5635: 5534: 5351: 5327: 5271: 5213: 4854: 4784: 4577: 4514: 4269: 4156: 3153: 3050: 2957: 2836: 2735: 1716: 314: 61: 7966: 8043: 7678: 7620: 7563: 7389: 7282: 7191: 6917: 6801: 6660: 6652: 6542: 6534: 6349: 6245: 6223: 6182: 6147: 6114: 6060: 5990: 5929: 5889: 5691: 5514: 5456: 5300: 5200: 5153: 5070: 5053: 5030: 4879: 4821: 4764: 4590: 4483: 4392: 4118: 4002: 3861: 3853: 3743: 3735: 3550: 3446: 3424: 3383: 3348: 3315: 3261: 3191: 3130: 3090: 2892: 2715: 752: 681: 633: 612: 591: 469:
One useful way to look at a randomized block experiment is to consider it as a collection of
400: 306: 97: 2021: 7976: 7946: 7886: 7864: 7601: 7176: 7125: 7101: 7063: 6981: 6960: 6912: 6791: 6769: 6738: 6647: 6524: 6475: 6393: 6366: 6322: 6278: 6040: 5816: 5696: 5316: 5254: 5248: 4802: 4377: 4326: 4302: 4264: 4182: 4161: 4113: 3992: 3970: 3939: 3848: 3725: 3676: 3594: 3567: 3523: 3479: 3241: 3017: 2897: 2610:
Wilk, M. B. (1955). "The Randomization Analysis of a Generalized Randomized Block Design".
2366: 2245: 2006: 1864: 1696: 1686: 337: 130: 114: 8: 7986: 7951: 7931: 7829: 7748: 7673: 7596: 7277: 7041: 7034: 6996: 6904: 6884: 6856: 6589: 6455: 6450: 6440: 6432: 6250: 6211: 6101: 6091: 6000: 5779: 5735: 5653: 5578: 5480: 5416: 5381: 5290: 4949: 4874: 4797: 4478: 4242: 4235: 4197: 4105: 4085: 4057: 3790: 3656: 3651: 3641: 3633: 3451: 3412: 3302: 3292: 3201: 2980: 2936: 2854: 2779: 2681: 2582: 2541: 2515: 2211: 1653: 348: 7961: 7881: 7762: 7573: 7427: 7323: 7272: 7148: 7045: 7029: 7006: 6783: 6517: 6500: 6460: 6371: 6266: 6228: 6199: 6159: 6119: 6065: 5982: 5668: 5663: 5451: 5058: 4963: 4774: 4628: 4524: 4473: 4349: 4246: 4230: 4207: 3984: 3718: 3701: 3661: 3572: 3467: 3429: 3400: 3360: 3320: 3266: 3183: 2869: 2864: 2662: 2627: 2520: 2391: 2345: 2322: 2284: 2233: 2199: 2170: 2106: 2073: 2033: 1778: 1678: 360: 7757: 7668: 7638: 7630: 7450: 7441: 7366: 7297: 7153: 7138: 7113: 7001: 6942: 6808: 6796: 6422: 6339: 6283: 6206: 6050: 5972: 5751: 5625: 5446: 5208: 5195: 5185: 5098: 5075: 5067: 5063: 5038: 4958: 4869: 4839: 4831: 4651: 4642: 4567: 4498: 4354: 4339: 4314: 4202: 4143: 4009: 3997: 3623: 3540: 3484: 3407: 3251: 3173: 2952: 2826: 2596: 2568: 2549: 2527: 2501: 2480: 2457: 2434: 2411: 2352: 2329: 2306: 2263: 2111: 2093: 2051: 1914: 1878: 1770: 1672: 825:
be the blocking factor furnace run. Then the experiment can be described as follows:
441: 310: 105: 2496:
Lentner, Marvin; Thomas Bishop (1993). "The Generalized RCB Design (Chapter 6.13)".
1957: 7891: 7843: 7693: 7648: 7412: 7399: 7292: 7267: 7201: 7133: 7011: 6619: 6512: 6445: 6358: 6305: 6124: 5995: 5789: 5673: 5588: 5555: 5386: 5080: 4894: 4849: 4613: 4600: 4493: 4468: 4402: 4334: 4212: 3820: 3713: 3646: 3559: 3506: 3325: 3196: 2990: 2874: 2789: 2756: 2652: 2619: 2472: 2449: 2426: 2403: 2383: 2225: 2191: 2162: 2101: 2085: 2043: 1992: 1906: 1870: 1762: 285:
helps distribute the effects of nuisance variables evenly across treatment groups.
264: 126: 1910: 792:
experimental wafers from the same lot to run three wafers at each of the dosages.
7610: 7354: 7216: 7143: 6818: 6692: 6665: 6642: 6611: 6238: 6233: 6187: 5917: 5568: 5402: 5332: 5285: 4811: 4555: 4417: 4344: 4019: 3893: 3866: 3843: 3812: 3439: 3434: 3388: 3118: 2769: 2362: 2300: 2241: 2002: 244: 7100: 4301: 1898: 7874: 7559: 7554: 6017: 5947: 5593: 5088: 4760: 4755: 3218: 3148: 2794: 2586: 2374:
Gates, C.E. (Nov 1995). "What Really Is Experimental Error in Block Designs?".
1711: 2657: 2640: 2047: 1874: 8063: 7716: 7683: 7546: 7507: 7318: 7287: 6751: 6705: 6310: 6012: 5839: 5603: 5598: 5226: 5103: 4917: 4884: 4747: 4708: 4519: 4488: 3952: 3906: 3511: 3213: 3040: 2804: 2799: 2456:. Vol. I: Introduction to Experimental Design (Second ed.). Wiley. 2097: 2055: 1774: 1726: 282: 240: 228: 110: 296: 7869: 7658: 7591: 7568: 7483: 6813: 6109: 6007: 5942: 5884: 5869: 5806: 5761: 5376: 4859: 4792: 4769: 4684: 4014: 3310: 3208: 3143: 3085: 3070: 3007: 2962: 2115: 1691: 1642: 236: 203:. This reduces sources of variability and thus leads to greater precision. 188: 134: 2500:(Second ed.). Blacksburg, VA: Valley Book Company. pp. 225–226. 320: 7701: 7663: 7346: 7247: 7109: 6922: 6889: 6381: 6298: 6293: 5937: 5894: 5874: 5854: 5844: 5613: 5232: 5163: 5148: 5118: 4902: 4864: 4547: 4448: 4310: 4123: 4090: 3582: 3499: 3494: 3138: 3095: 3075: 3055: 3045: 2814: 2089: 428: 302: 147: 93: 4999: 473:
experiments, each run within one of the blocks of the total experiment.
7936: 7901: 7848: 7798: 6547: 6027: 5727: 5658: 5608: 5583: 5503: 5048: 3748: 3228: 2928: 2859: 2809: 2784: 2704: 2666: 2631: 2395: 2237: 2203: 2174: 1997: 1980: 1782: 1750: 231:
the assignment of the two kinds of soles. This type of experiment is a
1157:
The model for a randomized block design with one nuisance variable is
6700: 6552: 6172: 5967: 5879: 5864: 5859: 5824: 5180: 3901: 3753: 3373: 3168: 3080: 3065: 3060: 3025: 2479:. Vol. 2: Advanced Experimental Design (First ed.). Wiley. 377: 2623: 2387: 2229: 2195: 2166: 1766: 256: 6216: 5834: 5711: 5706: 5701: 3417: 3035: 2912: 2907: 2902: 2038: 1981:"An approximation algorithm for blocking of an experimental design" 2470: 2447: 2424: 7721: 7422: 4922: 4623: 2540: 2526:(corrected reprint of the 1971 Wiley ed.). New York: Dover. 2522:
Constructions and Combinatorial Problems in Design of Experiments
2410:(Corrected reprint of (1952) Wiley ed.). Robert E. Krieger. 268:
Nuisance variable (sex) effect on response variable (weight loss)
175: 1256:{\displaystyle Y_{ij}=\mu +T_{i}+B_{j}+\mathrm {random\ error} } 7643: 6624: 6598: 6578: 5829: 5620: 4844: 3825: 3799: 3779: 3030: 2821: 1863:
Berger, Paul D.; Maurer, Robert E.; Celli, Giovana B. (2018).
5472: 2673: 2562: 1039:
and whose columns are the 3 levels of the blocking variable
5563: 2764: 169: 324:
No blocking (left) vs blocking (right) experimental design
27:
Design of experiments to collect similar contexts together
1567:{\displaystyle {\overline {Y}}_{\cdot j}-{\overline {Y}}} 1455:{\displaystyle {\overline {Y}}_{i\cdot }-{\overline {Y}}} 297:
Blocking used for nuisance factors that can be controlled
2546:
Block Designs: Analysis, Combinatorics and Applications
2137: 1751:"R. A. Fisher and the Design of Experiments, 1922-1926" 2342: 2319: 2020:
Pashley, Nicole E.; Miratrix, Luke W. (July 7, 2021).
1046:. The cells in the matrix have indices that match the 414: 352:
Without blocking: diet pills vs placebo on weight loss
317:
that is not of primary interest to the experimenter.
1580: 1530: 1468: 1418: 1381: 1166: 755: 684: 636: 615: 594: 7385:
Autoregressive conditional heteroskedasticity (ARCH)
4586:
Autoregressive conditional heteroskedasticity (ARCH)
2514: 2495: 2328:. Vol. I: Analysis. New York: Springer-Verlag. 1668: 195:
factor accounting for treatment variability between
2351:. Vol. II: Design. New York: Springer-Verlag. 2214:(1948). "The Validity of Comparative Experiments". 2153:(1969). "The Generalized Randomized Block Design". 2072:Ledolter, Johannes; Kardon, Randy H. (2020-07-09). 906:Before randomization, the design trials look like: 364:
With blocking: diet pills vs placebo on weight loss
6847: 4048: 2519: 2344: 2321: 1985:Journal of the Royal Statistical Society, Series B 1905:, New York, NY: Springer, 2008, pp. 447–448, 1603: 1566: 1491: 1454: 1394: 1321:is the general location parameter (i.e., the mean) 1255: 761: 690: 642: 621: 600: 378:Block a few of the most important nuisance factors 2402: 1862: 1794: 1792: 368: 219:volunteers, one possible design would be to give 8061: 2289:: CS1 maint: bot: original URL status unknown ( 2078:Investigative Ophthalmology & Visual Science 2026:Journal of Educational and Behavioral Statistics 806: 386:"Block what you can; randomize what you cannot." 6933:Multivariate adaptive regression splines (MARS) 4134:Multivariate adaptive regression splines (MARS) 2433:. Vol. I and II (Second ed.). Wiley. 2295:Pre-publication chapters are available on-line. 2184:Journal of the American Statistical Association 2022:"Block What You Can, Except When You Shouldn't" 2019: 1827: 1825: 1823: 1821: 1819: 1800:"5.3.3.3.3. Blocking of full factorial designs" 2138:National Institute of Standards and Technology 2071: 1789: 434: 406: 7814: 5488: 5015: 2689: 260:Nuisance variable effect on response variable 2581: 2298: 1816: 2067: 2065: 7821: 7807: 5533: 5495: 5481: 5022: 5008: 2734: 2696: 2682: 2272:. Archived from the original on 2011-03-06 747:= number of levels (settings) of factor 4 227:/2 of them shoes with the ordinary soles, 6146: 5029: 3347: 2656: 2105: 2037: 1996: 1604:{\displaystyle {\overline {Y}}_{\cdot j}} 1492:{\displaystyle {\overline {Y}}_{i\cdot }} 738:= number of levels (settings) of factor 3 729:= number of levels (settings) of factor 2 720:= number of levels (settings) of factor 1 80:Learn how and when to remove this message 7828: 2563:Shah, Kirti R.; Sinha, Bikas K. (1989). 2217:Journal of the Royal Statistical Society 2210: 2181: 2149: 2062: 1978: 1858: 1856: 1854: 1852: 1027: 779:= number of levels (settings) of factor 359: 347: 319: 263: 255: 223:/2 of them shoes with the new soles and 43:This article includes a list of general 2638: 2347:Block designs: A Randomization approach 2324:Block designs: A Randomization approach 452:By running a different design for each 14: 8062: 7459:Kaplan–Meier estimator (product limit) 4660:Kaplan–Meier estimator (product limit) 2408:The Design and Analysis of Experiments 2252: 1903:The Concise Encyclopedia of Statistics 7802: 7532: 7099: 6846: 6145: 5915: 5532: 5476: 5003: 4733: 4300: 4047: 3346: 3116: 2733: 2677: 2645:The Annals of Mathematical Statistics 2373: 1849: 1744: 1742: 1330:is the effect for being in treatment 422: 251: 7769: 7469:Accelerated failure time (AFT) model 4970: 4670:Accelerated failure time (AFT) model 2609: 2592:Combinatorics of Experimental Design 1637:Generalized randomized block designs 332:The blocks method was introduced by 29: 7781: 7064:Analysis of variance (ANOVA, anova) 5916: 5371:Generalized randomized block design 4982: 4265:Analysis of variance (ANOVA, anova) 3117: 1833:"5.3.3.2. Randomized block designs" 1748: 1722:Dependent and independent variables 1702:Generalized randomized block design 415:Select appropriate blocking factors 275:independent and dependent variables 191:trial. The sex of the patient is a 24: 7159:Cochran–Mantel–Haenszel statistics 5785:Pearson product-moment correlation 4360:Cochran–Mantel–Haenszel statistics 2986:Pearson product-moment correlation 2477:Design and Analysis of Experiments 2454:Design and Analysis of Experiments 2431:Design and Analysis of Experiments 1739: 1630: 1249: 1246: 1243: 1240: 1237: 1231: 1228: 1225: 1222: 1219: 1216: 49:it lacks sufficient corresponding 25: 8081: 5422:Sequential probability ratio test 2343:CaliƄski T.; Kageyama S. (2003). 2320:CaliƄski T.; Kageyama S. (2000). 2259:Design of Comparative Experiments 1956:Leadbetter M.R., Lindgren G. and 1659:Hyper-Graeco-Latin square designs 1350:is the effect for being in block 394: 7780: 7768: 7756: 7743: 7742: 7533: 5445: 5347:Polynomial and rational modeling 4981: 4969: 4957: 4944: 4943: 4734: 2498:Experimental design and analysis 2302:Linear Algebra and Linear Models 2132: This article incorporates 2127: 1671: 34: 7418:Least-squares spectral analysis 4619:Least-squares spectral analysis 2143: 2013: 1972: 1707:Glossary of experimental design 1395:{\displaystyle {\overline {Y}}} 477:Randomized block designs (RBD) 309:, blocking is the arranging of 243:is more closely matched to the 113:, following his development of 7972:Cremona–Richmond configuration 6399:Mean-unbiased minimum-variance 5502: 5114:Replication versus subsampling 3600:Mean-unbiased minimum-variance 2703: 2262:. Cambridge University Press. 1963: 1950: 1941: 1932: 1891: 832:= 2 factors (1 primary factor 447: 369:Definition of blocking factors 13: 1: 7712:Geographic information system 6928:Simultaneous equations models 4913:Geographic information system 4129:Simultaneous equations models 2305:(Second ed.). Springer. 1911:10.1007/978-0-387-32833-1_344 1732: 1402:= the average of all the data 1276:is any observation for which 807:Description of the experiment 8049:Kirkman's schoolgirl problem 7982:GrĂŒnbaum–Rigby configuration 6895:Coefficient of determination 6506:Uniformly most powerful test 5341:Response surface methodology 5249:Analysis of variance (Anova) 4096:Coefficient of determination 3707:Uniformly most powerful test 1587: 1559: 1537: 1475: 1447: 1425: 1387: 1365: 786: 459: 233:completely randomized design 7: 7942:Möbius–Kantor configuration 7464:Proportional hazards models 7408:Spectral density estimation 7390:Vector autoregression (VAR) 6824:Maximum posterior estimator 6056:Randomized controlled trial 5411:Randomized controlled trial 4665:Proportional hazards models 4609:Spectral density estimation 4591:Vector autoregression (VAR) 4025:Maximum posterior estimator 3257:Randomized controlled trial 1664: 435:Assign treatments to blocks 407:Identify nuisance variables 158: 10: 8086: 8028:Bruck–Ryser–Chowla theorem 7224:Multivariate distributions 5644:Average absolute deviation 4425:Multivariate distributions 2845:Average absolute deviation 343: 120: 8036: 8018:SzemerĂ©di–Trotter theorem 8000: 7922: 7857: 7836: 7738: 7692: 7629: 7582: 7545: 7541: 7528: 7500: 7482: 7449: 7440: 7398: 7345: 7306: 7255: 7246: 7212:Structural equation model 7167: 7124: 7120: 7095: 7054: 7020: 6974: 6941: 6903: 6870: 6866: 6842: 6782: 6691: 6610: 6574: 6565: 6548:Score/Lagrange multiplier 6533: 6486: 6431: 6357: 6348: 6158: 6154: 6141: 6100: 6074: 6026: 5981: 5963:Sample size determination 5928: 5924: 5911: 5815: 5770: 5744: 5726: 5682: 5634: 5554: 5545: 5541: 5528: 5510: 5430: 5299: 5194: 5127: 5037: 4939: 4893: 4830: 4783: 4746: 4742: 4729: 4701: 4683: 4650: 4641: 4599: 4546: 4507: 4456: 4447: 4413:Structural equation model 4368: 4325: 4321: 4296: 4255: 4221: 4175: 4142: 4104: 4071: 4067: 4043: 3983: 3892: 3811: 3775: 3766: 3749:Score/Lagrange multiplier 3734: 3687: 3632: 3558: 3549: 3359: 3355: 3342: 3301: 3275: 3227: 3182: 3164:Sample size determination 3129: 3125: 3112: 3016: 2971: 2945: 2927: 2883: 2835: 2755: 2746: 2742: 2729: 2711: 2565:Theory of Optimal Designs 2376:The American Statistician 2155:The American Statistician 2048:10.3102/10769986211027240 1979:Karmakar, Bikram (2022). 1899:"Randomized Block Design" 1875:10.1007/978-3-319-64583-4 1755:The American Statistician 1749:Box, Joan Fisher (1980). 399:Implementing blocking in 129:. His work in developing 8008:Sylvester–Gallai theorem 7707:Environmental statistics 7229:Elliptical distributions 7022:Generalized linear model 6951:Simple linear regression 6721:Hodges–Lehmann estimator 6178:Probability distribution 6087:Stochastic approximation 5649:Coefficient of variation 5397:Repeated measures design 5109:Restricted randomization 4908:Environmental statistics 4430:Elliptical distributions 4223:Generalized linear model 4152:Simple linear regression 3922:Hodges–Lehmann estimator 3379:Probability distribution 3288:Stochastic approximation 2850:Coefficient of variation 2639:Zyskind, George (1963). 2544:; Padgett, L.V. (2005). 1649:Latin hypercube sampling 1152: 882:= 1 replication per cell 464: 8013:De Bruijn–ErdƑs theorem 7957:Desargues configuration 7367:Cross-correlation (XCF) 6975:Non-standard predictors 6409:Lehmann–ScheffĂ© theorem 6082:Adaptive clinical trial 4568:Cross-correlation (XCF) 4176:Non-standard predictors 3610:Lehmann–ScheffĂ© theorem 3283:Adaptive clinical trial 2658:10.1214/aoms/1177703889 762:{\displaystyle \vdots } 691:{\displaystyle \cdots } 643:{\displaystyle \vdots } 622:{\displaystyle \vdots } 601:{\displaystyle \vdots } 64:more precise citations. 18:Randomized block design 7763:Mathematics portal 7584:Engineering statistics 7492:Nelson–Aalen estimator 7069:Analysis of covariance 6956:Ordinary least squares 6880:Pearson product-moment 6284:Statistical functional 6195:Empirical distribution 6028:Controlled experiments 5757:Frequency distribution 5535:Descriptive statistics 5452:Mathematics portal 5214:Ordinary least squares 4964:Mathematics portal 4785:Engineering statistics 4693:Nelson–Aalen estimator 4270:Analysis of covariance 4157:Ordinary least squares 4081:Pearson product-moment 3485:Statistical functional 3396:Empirical distribution 3229:Controlled experiments 2958:Frequency distribution 2736:Descriptive statistics 2134:public domain material 1717:Paired difference test 1605: 1568: 1493: 1456: 1396: 1315:is the blocking factor 1257: 839:and 1 blocking factor 818:be dosage "level" and 763: 692: 644: 623: 602: 365: 353: 325: 269: 261: 141: 8070:Design of experiments 8044:Design of experiments 7679:Population statistics 7621:System identification 7355:Autocorrelation (ACF) 7283:Exponential smoothing 7197:Discriminant analysis 7192:Canonical correlation 7056:Partition of variance 6918:Regression validation 6762:(Jonckheere–Terpstra) 6661:Likelihood-ratio test 6350:Frequentist inference 6262:Location–scale family 6183:Sampling distribution 6148:Statistical inference 6115:Cross-sectional study 6102:Observational studies 6061:Randomized experiment 5890:Stem-and-leaf display 5692:Central limit theorem 5049:Scientific experiment 5031:Design of experiments 4880:Population statistics 4822:System identification 4556:Autocorrelation (ACF) 4484:Exponential smoothing 4398:Discriminant analysis 4393:Canonical correlation 4257:Partition of variance 4119:Regression validation 3963:(Jonckheere–Terpstra) 3862:Likelihood-ratio test 3551:Frequentist inference 3463:Location–scale family 3384:Sampling distribution 3349:Statistical inference 3316:Cross-sectional study 3303:Observational studies 3262:Randomized experiment 3091:Stem-and-leaf display 2893:Central limit theorem 2299:Bapat, R. B. (2000). 1606: 1569: 1494: 1457: 1397: 1306:is the primary factor 1258: 1028:Matrix representation 870:= 3 levels of factor 855:= 4 levels of factor 764: 693: 645: 624: 603: 471:completely randomized 382:The general rule is: 363: 351: 323: 307:design of experiments 267: 259: 98:design of experiments 7977:Kummer configuration 7947:Pappus configuration 7830:Incidence structures 7602:Probabilistic design 7187:Principal components 7030:Exponential families 6982:Nonlinear regression 6961:General linear model 6923:Mixed effects models 6913:Errors and residuals 6890:Confounding variable 6792:Bayesian probability 6770:Van der Waerden test 6760:Ordered alternative 6525:Multiple comparisons 6404:Rao–Blackwellization 6367:Estimating equations 6323:Statistical distance 6041:Factorial experiment 5574:Arithmetic-Geometric 5323:Fractional factorial 4803:Probabilistic design 4388:Principal components 4231:Exponential families 4183:Nonlinear regression 4162:General linear model 4124:Mixed effects models 4114:Errors and residuals 4091:Confounding variable 3993:Bayesian probability 3971:Van der Waerden test 3961:Ordered alternative 3726:Multiple comparisons 3605:Rao–Blackwellization 3568:Estimating equations 3524:Statistical distance 3242:Factorial experiment 2775:Arithmetic-Geometric 2583:Street, Anne Penfold 2548:. World Scientific. 2542:Raghavarao, Damaraju 2516:Raghavarao, Damaraju 2090:10.1167/iovs.61.8.11 1697:Combinatorial design 1687:Algebraic statistics 1654:Graeco-Latin squares 1578: 1528: 1466: 1416: 1379: 1164: 1149:dimensional matrix. 1060:combinations above. 753: 682: 634: 613: 592: 338:extreme value theory 131:analysis of variance 104:is the arranging of 7987:Klein configuration 7967:SchlĂ€fli double six 7952:Hesse configuration 7932:Complete quadrangle 7674:Official statistics 7597:Methods engineering 7278:Seasonal adjustment 7046:Poisson regressions 6966:Bayesian regression 6905:Regression analysis 6885:Partial correlation 6857:Regression analysis 6456:Prediction interval 6451:Likelihood interval 6441:Confidence interval 6433:Interval estimation 6394:Unbiased estimators 6212:Model specification 6092:Up-and-down designs 5780:Partial correlation 5736:Index of dispersion 5654:Interquartile range 5457:Statistical outline 5417:Sequential analysis 5382:Graeco-Latin square 5291:Multiple comparison 5238:Hierarchical model: 4875:Official statistics 4798:Methods engineering 4479:Seasonal adjustment 4247:Poisson regressions 4167:Bayesian regression 4106:Regression analysis 4086:Partial correlation 4058:Regression analysis 3657:Prediction interval 3652:Likelihood interval 3642:Confidence interval 3634:Interval estimation 3595:Unbiased estimators 3413:Model specification 3293:Up-and-down designs 2981:Partial correlation 2937:Index of dispersion 2855:Interquartile range 2567:. Springer-Verlag. 2471:Hinkelmann, Klaus; 2448:Hinkelmann, Klaus; 2425:Hinkelmann, Klaus; 1866:Experimental Design 478: 401:experimental design 7962:Reye configuration 7694:Spatial statistics 7574:Medical statistics 7474:First hitting time 7428:Whittle likelihood 7079:Degrees of freedom 7074:Multivariate ANOVA 7007:Heteroscedasticity 6819:Bayesian estimator 6784:Bayesian inference 6633:Kolmogorov–Smirnov 6518:Randomization test 6488:Testing hypotheses 6461:Tolerance interval 6372:Maximum likelihood 6267:Exponential family 6200:Density estimation 6160:Statistical theory 6120:Natural experiment 6066:Scientific control 5983:Survey methodology 5669:Standard deviation 5462:Statistical topics 5054:Statistical design 4895:Spatial statistics 4775:Medical statistics 4675:First hitting time 4629:Whittle likelihood 4280:Degrees of freedom 4275:Multivariate ANOVA 4208:Heteroscedasticity 4020:Bayesian estimator 3985:Bayesian inference 3834:Kolmogorov–Smirnov 3719:Randomization test 3689:Testing hypotheses 3662:Tolerance interval 3573:Maximum likelihood 3468:Exponential family 3401:Density estimation 3361:Statistical theory 3321:Natural experiment 3267:Scientific control 3184:Survey methodology 2870:Standard deviation 2587:Street, Deborah J. 2190:(331): 1095–1108. 1998:10.1111/rssb.12545 1679:Mathematics portal 1601: 1564: 1489: 1452: 1392: 1253: 759: 688: 640: 619: 598: 485:Number of factors 476: 423:Define block sizes 366: 354: 326: 311:experimental units 270: 262: 252:Nuisance variables 179:, administered to 106:experimental units 8057: 8056: 7796: 7795: 7734: 7733: 7730: 7729: 7669:National accounts 7639:Actuarial science 7631:Social statistics 7524: 7523: 7520: 7519: 7516: 7515: 7451:Survival function 7436: 7435: 7298:Granger causality 7139:Contingency table 7114:Survival analysis 7091: 7090: 7087: 7086: 6943:Linear regression 6838: 6837: 6834: 6833: 6809:Credible interval 6778: 6777: 6561: 6560: 6377:Method of moments 6246:Parametric family 6207:Statistical model 6137: 6136: 6133: 6132: 6051:Random assignment 5973:Statistical power 5907: 5906: 5903: 5902: 5752:Contingency table 5722: 5721: 5589:Generalized/power 5470: 5469: 5357:Central composite 5255:Cochran's theorem 5209:Linear regression 5186:Nuisance variable 5099:Random assignment 5076:Experimental unit 4997: 4996: 4935: 4934: 4931: 4930: 4870:National accounts 4840:Actuarial science 4832:Social statistics 4725: 4724: 4721: 4720: 4717: 4716: 4652:Survival function 4637: 4636: 4499:Granger causality 4340:Contingency table 4315:Survival analysis 4292: 4291: 4288: 4287: 4144:Linear regression 4039: 4038: 4035: 4034: 4010:Credible interval 3979: 3978: 3762: 3761: 3578:Method of moments 3447:Parametric family 3408:Statistical model 3338: 3337: 3334: 3333: 3252:Random assignment 3174:Statistical power 3108: 3107: 3104: 3103: 2953:Contingency table 2923: 2922: 2790:Generalized/power 2595:. Oxford U. P. . 2486:978-0-471-55177-5 2473:Kempthorne, Oscar 2463:978-0-471-72756-9 2450:Kempthorne, Oscar 2440:978-0-470-38551-7 2427:Kempthorne, Oscar 2404:Kempthorne, Oscar 2312:978-0-387-98871-9 2269:978-0-521-68357-9 1920:978-0-387-32833-1 1884:978-3-319-64582-7 1611:= average of all 1590: 1562: 1540: 1499:= average of all 1478: 1450: 1428: 1390: 1236: 1143: 1142: 1025: 1024: 902:= 4 * 3 = 12 runs 708: 707: 442:random assignment 90: 89: 82: 16:(Redirected from 8077: 7892:Projective plane 7844:Incidence matrix 7823: 7816: 7809: 7800: 7799: 7784: 7783: 7772: 7771: 7761: 7760: 7746: 7745: 7649:Crime statistics 7543: 7542: 7530: 7529: 7447: 7446: 7413:Fourier analysis 7400:Frequency domain 7380: 7327: 7293:Structural break 7253: 7252: 7202:Cluster analysis 7149:Log-linear model 7122: 7121: 7097: 7096: 7038: 7012:Homoscedasticity 6868: 6867: 6844: 6843: 6763: 6755: 6747: 6746:(Kruskal–Wallis) 6731: 6716: 6671:Cross validation 6656: 6638:Anderson–Darling 6585: 6572: 6571: 6543:Likelihood-ratio 6535:Parametric tests 6513:Permutation test 6496:1- & 2-tails 6387:Minimum distance 6359:Point estimation 6355: 6354: 6306:Optimal decision 6257: 6156: 6155: 6143: 6142: 6125:Quasi-experiment 6075:Adaptive designs 5926: 5925: 5913: 5912: 5790:Rank correlation 5552: 5551: 5543: 5542: 5530: 5529: 5497: 5490: 5483: 5474: 5473: 5450: 5449: 5387:Orthogonal array 5024: 5017: 5010: 5001: 5000: 4985: 4984: 4973: 4972: 4962: 4961: 4947: 4946: 4850:Crime statistics 4744: 4743: 4731: 4730: 4648: 4647: 4614:Fourier analysis 4601:Frequency domain 4581: 4528: 4494:Structural break 4454: 4453: 4403:Cluster analysis 4350:Log-linear model 4323: 4322: 4298: 4297: 4239: 4213:Homoscedasticity 4069: 4068: 4045: 4044: 3964: 3956: 3948: 3947:(Kruskal–Wallis) 3932: 3917: 3872:Cross validation 3857: 3839:Anderson–Darling 3786: 3773: 3772: 3744:Likelihood-ratio 3736:Parametric tests 3714:Permutation test 3697:1- & 2-tails 3588:Minimum distance 3560:Point estimation 3556: 3555: 3507:Optimal decision 3458: 3357: 3356: 3344: 3343: 3326:Quasi-experiment 3276:Adaptive designs 3127: 3126: 3114: 3113: 2991:Rank correlation 2753: 2752: 2744: 2743: 2731: 2730: 2698: 2691: 2684: 2675: 2674: 2670: 2660: 2651:(4): 1569–1581. 2635: 2606: 2578: 2559: 2537: 2525: 2511: 2490: 2467: 2444: 2421: 2399: 2370: 2350: 2339: 2327: 2316: 2294: 2288: 2280: 2278: 2277: 2249: 2207: 2178: 2131: 2130: 2120: 2119: 2109: 2069: 2060: 2059: 2041: 2017: 2011: 2010: 2000: 1991:(5): 1726–1750. 1976: 1970: 1967: 1961: 1954: 1948: 1945: 1939: 1936: 1930: 1929: 1928: 1927: 1895: 1889: 1888: 1860: 1847: 1846: 1844: 1843: 1837:www.itl.nist.gov 1829: 1814: 1813: 1811: 1810: 1804:www.itl.nist.gov 1796: 1787: 1786: 1746: 1681: 1676: 1675: 1610: 1608: 1607: 1602: 1600: 1599: 1591: 1583: 1573: 1571: 1570: 1565: 1563: 1555: 1550: 1549: 1541: 1533: 1498: 1496: 1495: 1490: 1488: 1487: 1479: 1471: 1461: 1459: 1458: 1453: 1451: 1443: 1438: 1437: 1429: 1421: 1401: 1399: 1398: 1393: 1391: 1383: 1262: 1260: 1259: 1254: 1252: 1234: 1211: 1210: 1198: 1197: 1179: 1178: 1063: 1062: 909: 908: 768: 766: 765: 760: 697: 695: 694: 689: 649: 647: 646: 641: 628: 626: 625: 620: 607: 605: 604: 599: 479: 475: 127:Ronald A. Fisher 85: 78: 74: 71: 65: 60:this article by 51:inline citations 38: 37: 30: 21: 8085: 8084: 8080: 8079: 8078: 8076: 8075: 8074: 8060: 8059: 8058: 8053: 8032: 7996: 7918: 7853: 7849:Incidence graph 7832: 7827: 7797: 7792: 7755: 7726: 7688: 7625: 7611:quality control 7578: 7560:Clinical trials 7537: 7512: 7496: 7484:Hazard function 7478: 7432: 7394: 7378: 7341: 7337:Breusch–Godfrey 7325: 7302: 7242: 7217:Factor analysis 7163: 7144:Graphical model 7116: 7083: 7050: 7036: 7016: 6970: 6937: 6899: 6862: 6861: 6830: 6774: 6761: 6753: 6745: 6729: 6714: 6693:Rank statistics 6687: 6666:Model selection 6654: 6612:Goodness of fit 6606: 6583: 6557: 6529: 6482: 6427: 6416:Median unbiased 6344: 6255: 6188:Order statistic 6150: 6129: 6096: 6070: 6022: 5977: 5920: 5918:Data collection 5899: 5811: 5766: 5740: 5718: 5678: 5630: 5547:Continuous data 5537: 5524: 5506: 5501: 5471: 5466: 5444: 5426: 5403:Crossover study 5394: 5392:Latin hypercube 5328:Plackett–Burman 5307: 5304: 5303: 5295: 5198: 5190: 5131: 5123: 5040: 5033: 5028: 4998: 4993: 4956: 4927: 4889: 4826: 4812:quality control 4779: 4761:Clinical trials 4738: 4713: 4697: 4685:Hazard function 4679: 4633: 4595: 4579: 4542: 4538:Breusch–Godfrey 4526: 4503: 4443: 4418:Factor analysis 4364: 4345:Graphical model 4317: 4284: 4251: 4237: 4217: 4171: 4138: 4100: 4063: 4062: 4031: 3975: 3962: 3954: 3946: 3930: 3915: 3894:Rank statistics 3888: 3867:Model selection 3855: 3813:Goodness of fit 3807: 3784: 3758: 3730: 3683: 3628: 3617:Median unbiased 3545: 3456: 3389:Order statistic 3351: 3330: 3297: 3271: 3223: 3178: 3121: 3119:Data collection 3100: 3012: 2967: 2941: 2919: 2879: 2831: 2748:Continuous data 2738: 2725: 2707: 2702: 2624:10.2307/2333423 2603: 2575: 2556: 2534: 2508: 2487: 2464: 2441: 2418: 2388:10.2307/2684574 2359: 2336: 2313: 2282: 2281: 2275: 2273: 2270: 2230:10.2307/2984159 2220:. A (General). 2196:10.2307/2284277 2167:10.2307/2681737 2146: 2128: 2124: 2123: 2070: 2063: 2018: 2014: 1977: 1973: 1968: 1964: 1955: 1951: 1946: 1942: 1937: 1933: 1925: 1923: 1921: 1897: 1896: 1892: 1885: 1861: 1850: 1841: 1839: 1831: 1830: 1817: 1808: 1806: 1798: 1797: 1790: 1767:10.2307/2682986 1747: 1740: 1735: 1677: 1670: 1667: 1633: 1631:Generalizations 1621: 1592: 1582: 1581: 1579: 1576: 1575: 1554: 1542: 1532: 1531: 1529: 1526: 1525: 1523: 1509: 1480: 1470: 1469: 1467: 1464: 1463: 1442: 1430: 1420: 1419: 1417: 1414: 1413: 1411: 1382: 1380: 1377: 1376: 1368: 1360: 1349: 1340: 1329: 1314: 1305: 1293: 1282: 1275: 1215: 1206: 1202: 1193: 1189: 1171: 1167: 1165: 1162: 1161: 1155: 1059: 1052: 1045: 1038: 1030: 925: 917: 901: 894: 876: 869: 861: 854: 845: 838: 824: 817: 809: 789: 777: 754: 751: 750: 746: 737: 728: 719: 703: 683: 680: 679: 677: 670: 635: 632: 631: 614: 611: 610: 593: 590: 589: 584: 577: 570: 563: 547: 540: 533: 517: 510: 491:Number of runs 482:Name of design 467: 462: 450: 437: 425: 417: 409: 397: 380: 371: 346: 299: 254: 245:treatment group 165:Male and female 161: 144: 123: 86: 75: 69: 66: 56:Please help to 55: 39: 35: 28: 23: 22: 15: 12: 11: 5: 8083: 8073: 8072: 8055: 8054: 8052: 8051: 8046: 8040: 8038: 8034: 8033: 8031: 8030: 8025: 8023:Beck's theorem 8020: 8015: 8010: 8004: 8002: 7998: 7997: 7995: 7994: 7989: 7984: 7979: 7974: 7969: 7964: 7959: 7954: 7949: 7944: 7939: 7934: 7928: 7926: 7924:Configurations 7920: 7919: 7917: 7916: 7915: 7914: 7906: 7905: 7904: 7896: 7895: 7894: 7889: 7879: 7878: 7877: 7875:Steiner system 7872: 7861: 7859: 7855: 7854: 7852: 7851: 7846: 7840: 7838: 7837:Representation 7834: 7833: 7826: 7825: 7818: 7811: 7803: 7794: 7793: 7791: 7790: 7778: 7766: 7752: 7739: 7736: 7735: 7732: 7731: 7728: 7727: 7725: 7724: 7719: 7714: 7709: 7704: 7698: 7696: 7690: 7689: 7687: 7686: 7681: 7676: 7671: 7666: 7661: 7656: 7651: 7646: 7641: 7635: 7633: 7627: 7626: 7624: 7623: 7618: 7613: 7604: 7599: 7594: 7588: 7586: 7580: 7579: 7577: 7576: 7571: 7566: 7557: 7555:Bioinformatics 7551: 7549: 7539: 7538: 7526: 7525: 7522: 7521: 7518: 7517: 7514: 7513: 7511: 7510: 7504: 7502: 7498: 7497: 7495: 7494: 7488: 7486: 7480: 7479: 7477: 7476: 7471: 7466: 7461: 7455: 7453: 7444: 7438: 7437: 7434: 7433: 7431: 7430: 7425: 7420: 7415: 7410: 7404: 7402: 7396: 7395: 7393: 7392: 7387: 7382: 7374: 7369: 7364: 7363: 7362: 7360:partial (PACF) 7351: 7349: 7343: 7342: 7340: 7339: 7334: 7329: 7321: 7316: 7310: 7308: 7307:Specific tests 7304: 7303: 7301: 7300: 7295: 7290: 7285: 7280: 7275: 7270: 7265: 7259: 7257: 7250: 7244: 7243: 7241: 7240: 7239: 7238: 7237: 7236: 7221: 7220: 7219: 7209: 7207:Classification 7204: 7199: 7194: 7189: 7184: 7179: 7173: 7171: 7165: 7164: 7162: 7161: 7156: 7154:McNemar's test 7151: 7146: 7141: 7136: 7130: 7128: 7118: 7117: 7093: 7092: 7089: 7088: 7085: 7084: 7082: 7081: 7076: 7071: 7066: 7060: 7058: 7052: 7051: 7049: 7048: 7032: 7026: 7024: 7018: 7017: 7015: 7014: 7009: 7004: 6999: 6994: 6992:Semiparametric 6989: 6984: 6978: 6976: 6972: 6971: 6969: 6968: 6963: 6958: 6953: 6947: 6945: 6939: 6938: 6936: 6935: 6930: 6925: 6920: 6915: 6909: 6907: 6901: 6900: 6898: 6897: 6892: 6887: 6882: 6876: 6874: 6864: 6863: 6860: 6859: 6854: 6848: 6840: 6839: 6836: 6835: 6832: 6831: 6829: 6828: 6827: 6826: 6816: 6811: 6806: 6805: 6804: 6799: 6788: 6786: 6780: 6779: 6776: 6775: 6773: 6772: 6767: 6766: 6765: 6757: 6749: 6733: 6730:(Mann–Whitney) 6725: 6724: 6723: 6710: 6709: 6708: 6697: 6695: 6689: 6688: 6686: 6685: 6684: 6683: 6678: 6673: 6663: 6658: 6655:(Shapiro–Wilk) 6650: 6645: 6640: 6635: 6630: 6622: 6616: 6614: 6608: 6607: 6605: 6604: 6596: 6587: 6575: 6569: 6567:Specific tests 6563: 6562: 6559: 6558: 6556: 6555: 6550: 6545: 6539: 6537: 6531: 6530: 6528: 6527: 6522: 6521: 6520: 6510: 6509: 6508: 6498: 6492: 6490: 6484: 6483: 6481: 6480: 6479: 6478: 6473: 6463: 6458: 6453: 6448: 6443: 6437: 6435: 6429: 6428: 6426: 6425: 6420: 6419: 6418: 6413: 6412: 6411: 6406: 6391: 6390: 6389: 6384: 6379: 6374: 6363: 6361: 6352: 6346: 6345: 6343: 6342: 6337: 6332: 6331: 6330: 6320: 6315: 6314: 6313: 6303: 6302: 6301: 6296: 6291: 6281: 6276: 6271: 6270: 6269: 6264: 6259: 6243: 6242: 6241: 6236: 6231: 6221: 6220: 6219: 6214: 6204: 6203: 6202: 6192: 6191: 6190: 6180: 6175: 6170: 6164: 6162: 6152: 6151: 6139: 6138: 6135: 6134: 6131: 6130: 6128: 6127: 6122: 6117: 6112: 6106: 6104: 6098: 6097: 6095: 6094: 6089: 6084: 6078: 6076: 6072: 6071: 6069: 6068: 6063: 6058: 6053: 6048: 6043: 6038: 6032: 6030: 6024: 6023: 6021: 6020: 6018:Standard error 6015: 6010: 6005: 6004: 6003: 5998: 5987: 5985: 5979: 5978: 5976: 5975: 5970: 5965: 5960: 5955: 5950: 5948:Optimal design 5945: 5940: 5934: 5932: 5922: 5921: 5909: 5908: 5905: 5904: 5901: 5900: 5898: 5897: 5892: 5887: 5882: 5877: 5872: 5867: 5862: 5857: 5852: 5847: 5842: 5837: 5832: 5827: 5821: 5819: 5813: 5812: 5810: 5809: 5804: 5803: 5802: 5797: 5787: 5782: 5776: 5774: 5768: 5767: 5765: 5764: 5759: 5754: 5748: 5746: 5745:Summary tables 5742: 5741: 5739: 5738: 5732: 5730: 5724: 5723: 5720: 5719: 5717: 5716: 5715: 5714: 5709: 5704: 5694: 5688: 5686: 5680: 5679: 5677: 5676: 5671: 5666: 5661: 5656: 5651: 5646: 5640: 5638: 5632: 5631: 5629: 5628: 5623: 5618: 5617: 5616: 5611: 5606: 5601: 5596: 5591: 5586: 5581: 5579:Contraharmonic 5576: 5571: 5560: 5558: 5549: 5539: 5538: 5526: 5525: 5523: 5522: 5517: 5511: 5508: 5507: 5500: 5499: 5492: 5485: 5477: 5468: 5467: 5465: 5464: 5459: 5454: 5442: 5437: 5431: 5428: 5427: 5425: 5424: 5419: 5414: 5406: 5405: 5400: 5389: 5384: 5379: 5374: 5368: 5360: 5359: 5354: 5349: 5344: 5336: 5335: 5330: 5325: 5320: 5312: 5310: 5297: 5296: 5294: 5293: 5288: 5282: 5281: 5269: 5257: 5252: 5244: 5243: 5235: 5230: 5222: 5221: 5216: 5211: 5205: 5203: 5192: 5191: 5189: 5188: 5183: 5178: 5171: 5166: 5161: 5156: 5151: 5146: 5138: 5136: 5125: 5124: 5122: 5121: 5116: 5111: 5106: 5101: 5096: 5089:Optimal design 5084: 5083: 5078: 5073: 5061: 5056: 5051: 5045: 5043: 5035: 5034: 5027: 5026: 5019: 5012: 5004: 4995: 4994: 4992: 4991: 4979: 4967: 4953: 4940: 4937: 4936: 4933: 4932: 4929: 4928: 4926: 4925: 4920: 4915: 4910: 4905: 4899: 4897: 4891: 4890: 4888: 4887: 4882: 4877: 4872: 4867: 4862: 4857: 4852: 4847: 4842: 4836: 4834: 4828: 4827: 4825: 4824: 4819: 4814: 4805: 4800: 4795: 4789: 4787: 4781: 4780: 4778: 4777: 4772: 4767: 4758: 4756:Bioinformatics 4752: 4750: 4740: 4739: 4727: 4726: 4723: 4722: 4719: 4718: 4715: 4714: 4712: 4711: 4705: 4703: 4699: 4698: 4696: 4695: 4689: 4687: 4681: 4680: 4678: 4677: 4672: 4667: 4662: 4656: 4654: 4645: 4639: 4638: 4635: 4634: 4632: 4631: 4626: 4621: 4616: 4611: 4605: 4603: 4597: 4596: 4594: 4593: 4588: 4583: 4575: 4570: 4565: 4564: 4563: 4561:partial (PACF) 4552: 4550: 4544: 4543: 4541: 4540: 4535: 4530: 4522: 4517: 4511: 4509: 4508:Specific tests 4505: 4504: 4502: 4501: 4496: 4491: 4486: 4481: 4476: 4471: 4466: 4460: 4458: 4451: 4445: 4444: 4442: 4441: 4440: 4439: 4438: 4437: 4422: 4421: 4420: 4410: 4408:Classification 4405: 4400: 4395: 4390: 4385: 4380: 4374: 4372: 4366: 4365: 4363: 4362: 4357: 4355:McNemar's test 4352: 4347: 4342: 4337: 4331: 4329: 4319: 4318: 4294: 4293: 4290: 4289: 4286: 4285: 4283: 4282: 4277: 4272: 4267: 4261: 4259: 4253: 4252: 4250: 4249: 4233: 4227: 4225: 4219: 4218: 4216: 4215: 4210: 4205: 4200: 4195: 4193:Semiparametric 4190: 4185: 4179: 4177: 4173: 4172: 4170: 4169: 4164: 4159: 4154: 4148: 4146: 4140: 4139: 4137: 4136: 4131: 4126: 4121: 4116: 4110: 4108: 4102: 4101: 4099: 4098: 4093: 4088: 4083: 4077: 4075: 4065: 4064: 4061: 4060: 4055: 4049: 4041: 4040: 4037: 4036: 4033: 4032: 4030: 4029: 4028: 4027: 4017: 4012: 4007: 4006: 4005: 4000: 3989: 3987: 3981: 3980: 3977: 3976: 3974: 3973: 3968: 3967: 3966: 3958: 3950: 3934: 3931:(Mann–Whitney) 3926: 3925: 3924: 3911: 3910: 3909: 3898: 3896: 3890: 3889: 3887: 3886: 3885: 3884: 3879: 3874: 3864: 3859: 3856:(Shapiro–Wilk) 3851: 3846: 3841: 3836: 3831: 3823: 3817: 3815: 3809: 3808: 3806: 3805: 3797: 3788: 3776: 3770: 3768:Specific tests 3764: 3763: 3760: 3759: 3757: 3756: 3751: 3746: 3740: 3738: 3732: 3731: 3729: 3728: 3723: 3722: 3721: 3711: 3710: 3709: 3699: 3693: 3691: 3685: 3684: 3682: 3681: 3680: 3679: 3674: 3664: 3659: 3654: 3649: 3644: 3638: 3636: 3630: 3629: 3627: 3626: 3621: 3620: 3619: 3614: 3613: 3612: 3607: 3592: 3591: 3590: 3585: 3580: 3575: 3564: 3562: 3553: 3547: 3546: 3544: 3543: 3538: 3533: 3532: 3531: 3521: 3516: 3515: 3514: 3504: 3503: 3502: 3497: 3492: 3482: 3477: 3472: 3471: 3470: 3465: 3460: 3444: 3443: 3442: 3437: 3432: 3422: 3421: 3420: 3415: 3405: 3404: 3403: 3393: 3392: 3391: 3381: 3376: 3371: 3365: 3363: 3353: 3352: 3340: 3339: 3336: 3335: 3332: 3331: 3329: 3328: 3323: 3318: 3313: 3307: 3305: 3299: 3298: 3296: 3295: 3290: 3285: 3279: 3277: 3273: 3272: 3270: 3269: 3264: 3259: 3254: 3249: 3244: 3239: 3233: 3231: 3225: 3224: 3222: 3221: 3219:Standard error 3216: 3211: 3206: 3205: 3204: 3199: 3188: 3186: 3180: 3179: 3177: 3176: 3171: 3166: 3161: 3156: 3151: 3149:Optimal design 3146: 3141: 3135: 3133: 3123: 3122: 3110: 3109: 3106: 3105: 3102: 3101: 3099: 3098: 3093: 3088: 3083: 3078: 3073: 3068: 3063: 3058: 3053: 3048: 3043: 3038: 3033: 3028: 3022: 3020: 3014: 3013: 3011: 3010: 3005: 3004: 3003: 2998: 2988: 2983: 2977: 2975: 2969: 2968: 2966: 2965: 2960: 2955: 2949: 2947: 2946:Summary tables 2943: 2942: 2940: 2939: 2933: 2931: 2925: 2924: 2921: 2920: 2918: 2917: 2916: 2915: 2910: 2905: 2895: 2889: 2887: 2881: 2880: 2878: 2877: 2872: 2867: 2862: 2857: 2852: 2847: 2841: 2839: 2833: 2832: 2830: 2829: 2824: 2819: 2818: 2817: 2812: 2807: 2802: 2797: 2792: 2787: 2782: 2780:Contraharmonic 2777: 2772: 2761: 2759: 2750: 2740: 2739: 2727: 2726: 2724: 2723: 2718: 2712: 2709: 2708: 2701: 2700: 2693: 2686: 2678: 2672: 2671: 2636: 2618:(1–2): 70–79. 2607: 2601: 2579: 2573: 2560: 2554: 2538: 2532: 2512: 2506: 2493: 2492: 2491: 2485: 2468: 2462: 2439: 2422: 2416: 2400: 2382:(4): 362–363. 2371: 2357: 2340: 2334: 2317: 2311: 2296: 2268: 2250: 2224:(3): 181–211. 2212:Anscombe, F.J. 2208: 2179: 2145: 2142: 2141: 2140: 2122: 2121: 2061: 2012: 1971: 1962: 1949: 1940: 1931: 1919: 1890: 1883: 1848: 1815: 1788: 1737: 1736: 1734: 1731: 1730: 1729: 1724: 1719: 1714: 1712:Optimal design 1709: 1704: 1699: 1694: 1689: 1683: 1682: 1666: 1663: 1662: 1661: 1656: 1651: 1646: 1640: 1632: 1629: 1628: 1627: 1619: 1598: 1595: 1589: 1586: 1561: 1558: 1553: 1548: 1545: 1539: 1536: 1521: 1515: 1507: 1486: 1483: 1477: 1474: 1449: 1446: 1441: 1436: 1433: 1427: 1424: 1409: 1403: 1389: 1386: 1367: 1364: 1363: 1362: 1358: 1347: 1342: 1338: 1327: 1322: 1316: 1312: 1307: 1303: 1298: 1291: 1280: 1273: 1264: 1263: 1251: 1248: 1245: 1242: 1239: 1233: 1230: 1227: 1224: 1221: 1218: 1214: 1209: 1205: 1201: 1196: 1192: 1188: 1185: 1182: 1177: 1174: 1170: 1154: 1151: 1141: 1140: 1137: 1134: 1131: 1127: 1126: 1123: 1120: 1117: 1113: 1112: 1109: 1106: 1103: 1099: 1098: 1095: 1092: 1089: 1085: 1084: 1079: 1074: 1069: 1057: 1050: 1043: 1036: 1029: 1026: 1023: 1022: 1019: 1015: 1014: 1011: 1007: 1006: 1003: 999: 998: 995: 991: 990: 987: 983: 982: 979: 975: 974: 971: 967: 966: 963: 959: 958: 955: 951: 950: 947: 943: 942: 939: 935: 934: 931: 927: 926: 923: 918: 915: 904: 903: 899: 892: 883: 877: 874: 867: 862: 859: 852: 847: 843: 836: 822: 815: 808: 805: 788: 785: 784: 783: 775: 771: 770: 769: 758: 744: 739: 735: 730: 726: 721: 717: 706: 705: 701: 687: 675: 668: 663: 658: 651: 650: 639: 629: 618: 608: 597: 586: 585: 582: 575: 568: 561: 556: 553: 549: 548: 545: 538: 531: 526: 523: 519: 518: 515: 508: 503: 500: 496: 495: 489: 483: 466: 463: 461: 458: 449: 446: 436: 433: 424: 421: 416: 413: 408: 405: 396: 395:Implementation 393: 388: 387: 379: 376: 370: 367: 345: 342: 305:theory of the 298: 295: 253: 250: 249: 248: 210: 204: 187:patients in a 160: 157: 143: 140: 122: 119: 96:theory of the 88: 87: 42: 40: 33: 26: 9: 6: 4: 3: 2: 8082: 8071: 8068: 8067: 8065: 8050: 8047: 8045: 8042: 8041: 8039: 8035: 8029: 8026: 8024: 8021: 8019: 8016: 8014: 8011: 8009: 8006: 8005: 8003: 7999: 7993: 7990: 7988: 7985: 7983: 7980: 7978: 7975: 7973: 7970: 7968: 7965: 7963: 7960: 7958: 7955: 7953: 7950: 7948: 7945: 7943: 7940: 7938: 7935: 7933: 7930: 7929: 7927: 7925: 7921: 7913: 7910: 7909: 7907: 7903: 7900: 7899: 7898:Graph theory 7897: 7893: 7890: 7888: 7885: 7884: 7883: 7880: 7876: 7873: 7871: 7868: 7867: 7866: 7865:Combinatorics 7863: 7862: 7860: 7856: 7850: 7847: 7845: 7842: 7841: 7839: 7835: 7831: 7824: 7819: 7817: 7812: 7810: 7805: 7804: 7801: 7789: 7788: 7779: 7777: 7776: 7767: 7765: 7764: 7759: 7753: 7751: 7750: 7741: 7740: 7737: 7723: 7720: 7718: 7717:Geostatistics 7715: 7713: 7710: 7708: 7705: 7703: 7700: 7699: 7697: 7695: 7691: 7685: 7684:Psychometrics 7682: 7680: 7677: 7675: 7672: 7670: 7667: 7665: 7662: 7660: 7657: 7655: 7652: 7650: 7647: 7645: 7642: 7640: 7637: 7636: 7634: 7632: 7628: 7622: 7619: 7617: 7614: 7612: 7608: 7605: 7603: 7600: 7598: 7595: 7593: 7590: 7589: 7587: 7585: 7581: 7575: 7572: 7570: 7567: 7565: 7561: 7558: 7556: 7553: 7552: 7550: 7548: 7547:Biostatistics 7544: 7540: 7536: 7531: 7527: 7509: 7508:Log-rank test 7506: 7505: 7503: 7499: 7493: 7490: 7489: 7487: 7485: 7481: 7475: 7472: 7470: 7467: 7465: 7462: 7460: 7457: 7456: 7454: 7452: 7448: 7445: 7443: 7439: 7429: 7426: 7424: 7421: 7419: 7416: 7414: 7411: 7409: 7406: 7405: 7403: 7401: 7397: 7391: 7388: 7386: 7383: 7381: 7379:(Box–Jenkins) 7375: 7373: 7370: 7368: 7365: 7361: 7358: 7357: 7356: 7353: 7352: 7350: 7348: 7344: 7338: 7335: 7333: 7332:Durbin–Watson 7330: 7328: 7322: 7320: 7317: 7315: 7314:Dickey–Fuller 7312: 7311: 7309: 7305: 7299: 7296: 7294: 7291: 7289: 7288:Cointegration 7286: 7284: 7281: 7279: 7276: 7274: 7271: 7269: 7266: 7264: 7263:Decomposition 7261: 7260: 7258: 7254: 7251: 7249: 7245: 7235: 7232: 7231: 7230: 7227: 7226: 7225: 7222: 7218: 7215: 7214: 7213: 7210: 7208: 7205: 7203: 7200: 7198: 7195: 7193: 7190: 7188: 7185: 7183: 7180: 7178: 7175: 7174: 7172: 7170: 7166: 7160: 7157: 7155: 7152: 7150: 7147: 7145: 7142: 7140: 7137: 7135: 7134:Cohen's kappa 7132: 7131: 7129: 7127: 7123: 7119: 7115: 7111: 7107: 7103: 7098: 7094: 7080: 7077: 7075: 7072: 7070: 7067: 7065: 7062: 7061: 7059: 7057: 7053: 7047: 7043: 7039: 7033: 7031: 7028: 7027: 7025: 7023: 7019: 7013: 7010: 7008: 7005: 7003: 7000: 6998: 6995: 6993: 6990: 6988: 6987:Nonparametric 6985: 6983: 6980: 6979: 6977: 6973: 6967: 6964: 6962: 6959: 6957: 6954: 6952: 6949: 6948: 6946: 6944: 6940: 6934: 6931: 6929: 6926: 6924: 6921: 6919: 6916: 6914: 6911: 6910: 6908: 6906: 6902: 6896: 6893: 6891: 6888: 6886: 6883: 6881: 6878: 6877: 6875: 6873: 6869: 6865: 6858: 6855: 6853: 6850: 6849: 6845: 6841: 6825: 6822: 6821: 6820: 6817: 6815: 6812: 6810: 6807: 6803: 6800: 6798: 6795: 6794: 6793: 6790: 6789: 6787: 6785: 6781: 6771: 6768: 6764: 6758: 6756: 6750: 6748: 6742: 6741: 6740: 6737: 6736:Nonparametric 6734: 6732: 6726: 6722: 6719: 6718: 6717: 6711: 6707: 6706:Sample median 6704: 6703: 6702: 6699: 6698: 6696: 6694: 6690: 6682: 6679: 6677: 6674: 6672: 6669: 6668: 6667: 6664: 6662: 6659: 6657: 6651: 6649: 6646: 6644: 6641: 6639: 6636: 6634: 6631: 6629: 6627: 6623: 6621: 6618: 6617: 6615: 6613: 6609: 6603: 6601: 6597: 6595: 6593: 6588: 6586: 6581: 6577: 6576: 6573: 6570: 6568: 6564: 6554: 6551: 6549: 6546: 6544: 6541: 6540: 6538: 6536: 6532: 6526: 6523: 6519: 6516: 6515: 6514: 6511: 6507: 6504: 6503: 6502: 6499: 6497: 6494: 6493: 6491: 6489: 6485: 6477: 6474: 6472: 6469: 6468: 6467: 6464: 6462: 6459: 6457: 6454: 6452: 6449: 6447: 6444: 6442: 6439: 6438: 6436: 6434: 6430: 6424: 6421: 6417: 6414: 6410: 6407: 6405: 6402: 6401: 6400: 6397: 6396: 6395: 6392: 6388: 6385: 6383: 6380: 6378: 6375: 6373: 6370: 6369: 6368: 6365: 6364: 6362: 6360: 6356: 6353: 6351: 6347: 6341: 6338: 6336: 6333: 6329: 6326: 6325: 6324: 6321: 6319: 6316: 6312: 6311:loss function 6309: 6308: 6307: 6304: 6300: 6297: 6295: 6292: 6290: 6287: 6286: 6285: 6282: 6280: 6277: 6275: 6272: 6268: 6265: 6263: 6260: 6258: 6252: 6249: 6248: 6247: 6244: 6240: 6237: 6235: 6232: 6230: 6227: 6226: 6225: 6222: 6218: 6215: 6213: 6210: 6209: 6208: 6205: 6201: 6198: 6197: 6196: 6193: 6189: 6186: 6185: 6184: 6181: 6179: 6176: 6174: 6171: 6169: 6166: 6165: 6163: 6161: 6157: 6153: 6149: 6144: 6140: 6126: 6123: 6121: 6118: 6116: 6113: 6111: 6108: 6107: 6105: 6103: 6099: 6093: 6090: 6088: 6085: 6083: 6080: 6079: 6077: 6073: 6067: 6064: 6062: 6059: 6057: 6054: 6052: 6049: 6047: 6044: 6042: 6039: 6037: 6034: 6033: 6031: 6029: 6025: 6019: 6016: 6014: 6013:Questionnaire 6011: 6009: 6006: 6002: 5999: 5997: 5994: 5993: 5992: 5989: 5988: 5986: 5984: 5980: 5974: 5971: 5969: 5966: 5964: 5961: 5959: 5956: 5954: 5951: 5949: 5946: 5944: 5941: 5939: 5936: 5935: 5933: 5931: 5927: 5923: 5919: 5914: 5910: 5896: 5893: 5891: 5888: 5886: 5883: 5881: 5878: 5876: 5873: 5871: 5868: 5866: 5863: 5861: 5858: 5856: 5853: 5851: 5848: 5846: 5843: 5841: 5840:Control chart 5838: 5836: 5833: 5831: 5828: 5826: 5823: 5822: 5820: 5818: 5814: 5808: 5805: 5801: 5798: 5796: 5793: 5792: 5791: 5788: 5786: 5783: 5781: 5778: 5777: 5775: 5773: 5769: 5763: 5760: 5758: 5755: 5753: 5750: 5749: 5747: 5743: 5737: 5734: 5733: 5731: 5729: 5725: 5713: 5710: 5708: 5705: 5703: 5700: 5699: 5698: 5695: 5693: 5690: 5689: 5687: 5685: 5681: 5675: 5672: 5670: 5667: 5665: 5662: 5660: 5657: 5655: 5652: 5650: 5647: 5645: 5642: 5641: 5639: 5637: 5633: 5627: 5624: 5622: 5619: 5615: 5612: 5610: 5607: 5605: 5602: 5600: 5597: 5595: 5592: 5590: 5587: 5585: 5582: 5580: 5577: 5575: 5572: 5570: 5567: 5566: 5565: 5562: 5561: 5559: 5557: 5553: 5550: 5548: 5544: 5540: 5536: 5531: 5527: 5521: 5518: 5516: 5513: 5512: 5509: 5505: 5498: 5493: 5491: 5486: 5484: 5479: 5478: 5475: 5463: 5460: 5458: 5455: 5453: 5448: 5443: 5441: 5438: 5436: 5433: 5432: 5429: 5423: 5420: 5418: 5415: 5413: 5412: 5408: 5407: 5404: 5401: 5399: 5398: 5393: 5390: 5388: 5385: 5383: 5380: 5378: 5375: 5372: 5369: 5367: 5366: 5362: 5361: 5358: 5355: 5353: 5350: 5348: 5345: 5343: 5342: 5338: 5337: 5334: 5331: 5329: 5326: 5324: 5321: 5319: 5318: 5314: 5313: 5311: 5309: 5302: 5298: 5292: 5289: 5287: 5286:Compare means 5284: 5283: 5280: 5278: 5274: 5270: 5268: 5266: 5262: 5258: 5256: 5253: 5251: 5250: 5246: 5245: 5242: 5239: 5236: 5234: 5231: 5229: 5228: 5227:Random effect 5224: 5223: 5220: 5217: 5215: 5212: 5210: 5207: 5206: 5204: 5202: 5197: 5193: 5187: 5184: 5182: 5179: 5177: 5176: 5172: 5170: 5169:Orthogonality 5167: 5165: 5162: 5160: 5157: 5155: 5152: 5150: 5147: 5145: 5144: 5140: 5139: 5137: 5135: 5130: 5126: 5120: 5117: 5115: 5112: 5110: 5107: 5105: 5104:Randomization 5102: 5100: 5097: 5095: 5091: 5090: 5086: 5085: 5082: 5079: 5077: 5074: 5072: 5069: 5065: 5062: 5060: 5057: 5055: 5052: 5050: 5047: 5046: 5044: 5042: 5036: 5032: 5025: 5020: 5018: 5013: 5011: 5006: 5005: 5002: 4990: 4989: 4980: 4978: 4977: 4968: 4966: 4965: 4960: 4954: 4952: 4951: 4942: 4941: 4938: 4924: 4921: 4919: 4918:Geostatistics 4916: 4914: 4911: 4909: 4906: 4904: 4901: 4900: 4898: 4896: 4892: 4886: 4885:Psychometrics 4883: 4881: 4878: 4876: 4873: 4871: 4868: 4866: 4863: 4861: 4858: 4856: 4853: 4851: 4848: 4846: 4843: 4841: 4838: 4837: 4835: 4833: 4829: 4823: 4820: 4818: 4815: 4813: 4809: 4806: 4804: 4801: 4799: 4796: 4794: 4791: 4790: 4788: 4786: 4782: 4776: 4773: 4771: 4768: 4766: 4762: 4759: 4757: 4754: 4753: 4751: 4749: 4748:Biostatistics 4745: 4741: 4737: 4732: 4728: 4710: 4709:Log-rank test 4707: 4706: 4704: 4700: 4694: 4691: 4690: 4688: 4686: 4682: 4676: 4673: 4671: 4668: 4666: 4663: 4661: 4658: 4657: 4655: 4653: 4649: 4646: 4644: 4640: 4630: 4627: 4625: 4622: 4620: 4617: 4615: 4612: 4610: 4607: 4606: 4604: 4602: 4598: 4592: 4589: 4587: 4584: 4582: 4580:(Box–Jenkins) 4576: 4574: 4571: 4569: 4566: 4562: 4559: 4558: 4557: 4554: 4553: 4551: 4549: 4545: 4539: 4536: 4534: 4533:Durbin–Watson 4531: 4529: 4523: 4521: 4518: 4516: 4515:Dickey–Fuller 4513: 4512: 4510: 4506: 4500: 4497: 4495: 4492: 4490: 4489:Cointegration 4487: 4485: 4482: 4480: 4477: 4475: 4472: 4470: 4467: 4465: 4464:Decomposition 4462: 4461: 4459: 4455: 4452: 4450: 4446: 4436: 4433: 4432: 4431: 4428: 4427: 4426: 4423: 4419: 4416: 4415: 4414: 4411: 4409: 4406: 4404: 4401: 4399: 4396: 4394: 4391: 4389: 4386: 4384: 4381: 4379: 4376: 4375: 4373: 4371: 4367: 4361: 4358: 4356: 4353: 4351: 4348: 4346: 4343: 4341: 4338: 4336: 4335:Cohen's kappa 4333: 4332: 4330: 4328: 4324: 4320: 4316: 4312: 4308: 4304: 4299: 4295: 4281: 4278: 4276: 4273: 4271: 4268: 4266: 4263: 4262: 4260: 4258: 4254: 4248: 4244: 4240: 4234: 4232: 4229: 4228: 4226: 4224: 4220: 4214: 4211: 4209: 4206: 4204: 4201: 4199: 4196: 4194: 4191: 4189: 4188:Nonparametric 4186: 4184: 4181: 4180: 4178: 4174: 4168: 4165: 4163: 4160: 4158: 4155: 4153: 4150: 4149: 4147: 4145: 4141: 4135: 4132: 4130: 4127: 4125: 4122: 4120: 4117: 4115: 4112: 4111: 4109: 4107: 4103: 4097: 4094: 4092: 4089: 4087: 4084: 4082: 4079: 4078: 4076: 4074: 4070: 4066: 4059: 4056: 4054: 4051: 4050: 4046: 4042: 4026: 4023: 4022: 4021: 4018: 4016: 4013: 4011: 4008: 4004: 4001: 3999: 3996: 3995: 3994: 3991: 3990: 3988: 3986: 3982: 3972: 3969: 3965: 3959: 3957: 3951: 3949: 3943: 3942: 3941: 3938: 3937:Nonparametric 3935: 3933: 3927: 3923: 3920: 3919: 3918: 3912: 3908: 3907:Sample median 3905: 3904: 3903: 3900: 3899: 3897: 3895: 3891: 3883: 3880: 3878: 3875: 3873: 3870: 3869: 3868: 3865: 3863: 3860: 3858: 3852: 3850: 3847: 3845: 3842: 3840: 3837: 3835: 3832: 3830: 3828: 3824: 3822: 3819: 3818: 3816: 3814: 3810: 3804: 3802: 3798: 3796: 3794: 3789: 3787: 3782: 3778: 3777: 3774: 3771: 3769: 3765: 3755: 3752: 3750: 3747: 3745: 3742: 3741: 3739: 3737: 3733: 3727: 3724: 3720: 3717: 3716: 3715: 3712: 3708: 3705: 3704: 3703: 3700: 3698: 3695: 3694: 3692: 3690: 3686: 3678: 3675: 3673: 3670: 3669: 3668: 3665: 3663: 3660: 3658: 3655: 3653: 3650: 3648: 3645: 3643: 3640: 3639: 3637: 3635: 3631: 3625: 3622: 3618: 3615: 3611: 3608: 3606: 3603: 3602: 3601: 3598: 3597: 3596: 3593: 3589: 3586: 3584: 3581: 3579: 3576: 3574: 3571: 3570: 3569: 3566: 3565: 3563: 3561: 3557: 3554: 3552: 3548: 3542: 3539: 3537: 3534: 3530: 3527: 3526: 3525: 3522: 3520: 3517: 3513: 3512:loss function 3510: 3509: 3508: 3505: 3501: 3498: 3496: 3493: 3491: 3488: 3487: 3486: 3483: 3481: 3478: 3476: 3473: 3469: 3466: 3464: 3461: 3459: 3453: 3450: 3449: 3448: 3445: 3441: 3438: 3436: 3433: 3431: 3428: 3427: 3426: 3423: 3419: 3416: 3414: 3411: 3410: 3409: 3406: 3402: 3399: 3398: 3397: 3394: 3390: 3387: 3386: 3385: 3382: 3380: 3377: 3375: 3372: 3370: 3367: 3366: 3364: 3362: 3358: 3354: 3350: 3345: 3341: 3327: 3324: 3322: 3319: 3317: 3314: 3312: 3309: 3308: 3306: 3304: 3300: 3294: 3291: 3289: 3286: 3284: 3281: 3280: 3278: 3274: 3268: 3265: 3263: 3260: 3258: 3255: 3253: 3250: 3248: 3245: 3243: 3240: 3238: 3235: 3234: 3232: 3230: 3226: 3220: 3217: 3215: 3214:Questionnaire 3212: 3210: 3207: 3203: 3200: 3198: 3195: 3194: 3193: 3190: 3189: 3187: 3185: 3181: 3175: 3172: 3170: 3167: 3165: 3162: 3160: 3157: 3155: 3152: 3150: 3147: 3145: 3142: 3140: 3137: 3136: 3134: 3132: 3128: 3124: 3120: 3115: 3111: 3097: 3094: 3092: 3089: 3087: 3084: 3082: 3079: 3077: 3074: 3072: 3069: 3067: 3064: 3062: 3059: 3057: 3054: 3052: 3049: 3047: 3044: 3042: 3041:Control chart 3039: 3037: 3034: 3032: 3029: 3027: 3024: 3023: 3021: 3019: 3015: 3009: 3006: 3002: 2999: 2997: 2994: 2993: 2992: 2989: 2987: 2984: 2982: 2979: 2978: 2976: 2974: 2970: 2964: 2961: 2959: 2956: 2954: 2951: 2950: 2948: 2944: 2938: 2935: 2934: 2932: 2930: 2926: 2914: 2911: 2909: 2906: 2904: 2901: 2900: 2899: 2896: 2894: 2891: 2890: 2888: 2886: 2882: 2876: 2873: 2871: 2868: 2866: 2863: 2861: 2858: 2856: 2853: 2851: 2848: 2846: 2843: 2842: 2840: 2838: 2834: 2828: 2825: 2823: 2820: 2816: 2813: 2811: 2808: 2806: 2803: 2801: 2798: 2796: 2793: 2791: 2788: 2786: 2783: 2781: 2778: 2776: 2773: 2771: 2768: 2767: 2766: 2763: 2762: 2760: 2758: 2754: 2751: 2749: 2745: 2741: 2737: 2732: 2728: 2722: 2719: 2717: 2714: 2713: 2710: 2706: 2699: 2694: 2692: 2687: 2685: 2680: 2679: 2676: 2668: 2664: 2659: 2654: 2650: 2646: 2642: 2637: 2633: 2629: 2625: 2621: 2617: 2613: 2608: 2604: 2602:0-19-853256-3 2598: 2594: 2593: 2588: 2584: 2580: 2576: 2574:0-387-96991-8 2570: 2566: 2561: 2557: 2555:981-256-360-1 2551: 2547: 2543: 2539: 2535: 2533:0-486-65685-3 2529: 2524: 2523: 2517: 2513: 2509: 2507:0-9616255-2-X 2503: 2499: 2494: 2488: 2482: 2478: 2474: 2469: 2465: 2459: 2455: 2451: 2446: 2445: 2442: 2436: 2432: 2428: 2423: 2419: 2417:0-88275-105-0 2413: 2409: 2405: 2401: 2397: 2393: 2389: 2385: 2381: 2377: 2372: 2368: 2364: 2360: 2358:0-387-95470-8 2354: 2349: 2348: 2341: 2337: 2335:0-387-98578-6 2331: 2326: 2325: 2318: 2314: 2308: 2304: 2303: 2297: 2292: 2286: 2271: 2265: 2261: 2260: 2255: 2251: 2247: 2243: 2239: 2235: 2231: 2227: 2223: 2219: 2218: 2213: 2209: 2205: 2201: 2197: 2193: 2189: 2185: 2180: 2176: 2172: 2168: 2164: 2160: 2156: 2152: 2148: 2147: 2139: 2136:from the 2135: 2126: 2125: 2117: 2113: 2108: 2103: 2099: 2095: 2091: 2087: 2083: 2079: 2075: 2068: 2066: 2057: 2053: 2049: 2045: 2040: 2035: 2032:(1): 69–100. 2031: 2027: 2023: 2016: 2008: 2004: 1999: 1994: 1990: 1986: 1982: 1975: 1966: 1959: 1953: 1944: 1935: 1922: 1916: 1912: 1908: 1904: 1900: 1894: 1886: 1880: 1876: 1872: 1868: 1867: 1859: 1857: 1855: 1853: 1838: 1834: 1828: 1826: 1824: 1822: 1820: 1805: 1801: 1795: 1793: 1784: 1780: 1776: 1772: 1768: 1764: 1760: 1756: 1752: 1745: 1743: 1738: 1728: 1727:Blockmodeling 1725: 1723: 1720: 1718: 1715: 1713: 1710: 1708: 1705: 1703: 1700: 1698: 1695: 1693: 1690: 1688: 1685: 1684: 1680: 1674: 1669: 1660: 1657: 1655: 1652: 1650: 1647: 1644: 1643:Latin squares 1641: 1638: 1635: 1634: 1625: 1618: 1614: 1596: 1593: 1584: 1556: 1551: 1546: 1543: 1534: 1520: 1517:Estimate for 1516: 1513: 1506: 1502: 1484: 1481: 1472: 1444: 1439: 1434: 1431: 1422: 1408: 1405:Estimate for 1404: 1384: 1374: 1371:Estimate for 1370: 1369: 1357: 1353: 1346: 1343: 1337: 1333: 1326: 1323: 1320: 1317: 1311: 1308: 1302: 1299: 1297: 1290: 1286: 1279: 1272: 1269: 1268: 1267: 1212: 1207: 1203: 1199: 1194: 1190: 1186: 1183: 1180: 1175: 1172: 1168: 1160: 1159: 1158: 1150: 1148: 1138: 1135: 1132: 1129: 1128: 1124: 1121: 1118: 1115: 1114: 1110: 1107: 1104: 1101: 1100: 1096: 1093: 1090: 1087: 1086: 1083: 1080: 1078: 1075: 1073: 1070: 1068: 1065: 1064: 1061: 1056: 1049: 1042: 1035: 1020: 1017: 1016: 1012: 1009: 1008: 1004: 1001: 1000: 996: 993: 992: 988: 985: 984: 980: 977: 976: 972: 969: 968: 964: 961: 960: 956: 953: 952: 948: 945: 944: 940: 937: 936: 932: 929: 928: 922: 919: 914: 911: 910: 907: 898: 891: 887: 884: 881: 878: 873: 866: 863: 858: 851: 848: 842: 835: 831: 828: 827: 826: 821: 814: 804: 800: 796: 793: 782: 778: 772: 756: 749: 748: 743: 740: 734: 731: 725: 722: 716: 713: 712: 711: 704: 685: 674: 667: 664: 662: 659: 656: 653: 652: 637: 630: 616: 609: 595: 588: 587: 581: 574: 567: 560: 557: 554: 552:4-factor RBD 551: 550: 544: 537: 530: 527: 524: 522:3-factor RBD 521: 520: 514: 507: 504: 501: 499:2-factor RBD 498: 497: 494: 490: 488: 484: 481: 480: 474: 472: 457: 455: 445: 443: 432: 430: 420: 412: 404: 402: 392: 391:randomizing. 385: 384: 383: 375: 362: 358: 350: 341: 339: 335: 330: 322: 318: 316: 312: 308: 304: 294: 290: 286: 284: 283:Randomization 278: 276: 266: 258: 246: 242: 241:control group 238: 234: 230: 226: 222: 218: 214: 211: 208: 205: 202: 198: 194: 190: 186: 182: 178: 177: 172: 171: 166: 163: 162: 156: 155:interaction. 153: 149: 139: 136: 132: 128: 118: 116: 112: 111:Ronald Fisher 107: 103: 99: 95: 84: 81: 73: 63: 59: 53: 52: 46: 41: 32: 31: 19: 8037:Applications 7911: 7870:Block design 7785: 7773: 7754: 7747: 7659:Econometrics 7609: / 7592:Chemometrics 7569:Epidemiology 7562: / 7535:Applications 7377:ARIMA model 7324:Q-statistic 7273:Stationarity 7169:Multivariate 7112: / 7108: / 7106:Multivariate 7104: / 7044: / 7040: / 6814:Bayes factor 6713:Signed rank 6625: 6599: 6591: 6579: 6274:Completeness 6110:Cohort study 6035: 6008:Opinion poll 5943:Missing data 5930:Study design 5885:Scatter plot 5807:Scatter plot 5800:Spearman's ρ 5762:Grouped data 5409: 5395: 5377:Latin square 5363: 5339: 5315: 5276: 5272: 5265:multivariate 5264: 5260: 5247: 5225: 5174: 5173: 5141: 5133: 5087: 4986: 4974: 4955: 4948: 4860:Econometrics 4810: / 4793:Chemometrics 4770:Epidemiology 4763: / 4736:Applications 4578:ARIMA model 4525:Q-statistic 4474:Stationarity 4370:Multivariate 4313: / 4309: / 4307:Multivariate 4305: / 4245: / 4241: / 4015:Bayes factor 3914:Signed rank 3826: 3800: 3792: 3780: 3475:Completeness 3311:Cohort study 3236: 3209:Opinion poll 3144:Missing data 3131:Study design 3086:Scatter plot 3008:Scatter plot 3001:Spearman's ρ 2963:Grouped data 2648: 2644: 2615: 2611: 2591: 2564: 2545: 2521: 2497: 2476: 2453: 2430: 2407: 2379: 2375: 2346: 2323: 2301: 2274:. Retrieved 2258: 2254:Bailey, R. A 2221: 2215: 2187: 2183: 2161:(4): 35–36. 2158: 2154: 2151:Addelman, S. 2144:Bibliography 2081: 2077: 2029: 2025: 2015: 1988: 1984: 1974: 1965: 1952: 1943: 1934: 1924:, retrieved 1902: 1893: 1865: 1840:. Retrieved 1836: 1807:. Retrieved 1803: 1758: 1754: 1692:Block design 1623: 1616: 1612: 1518: 1511: 1504: 1500: 1406: 1372: 1355: 1351: 1344: 1335: 1331: 1324: 1318: 1309: 1300: 1295: 1288: 1284: 1277: 1270: 1265: 1156: 1146: 1144: 1081: 1076: 1071: 1066: 1054: 1047: 1040: 1033: 1031: 920: 912: 905: 896: 889: 885: 879: 871: 864: 856: 849: 840: 833: 829: 819: 812: 810: 801: 797: 794: 790: 780: 773: 741: 732: 723: 714: 709: 699: 672: 665: 660: 657:-factor RBD 654: 579: 572: 565: 558: 542: 535: 528: 512: 505: 492: 486: 468: 451: 438: 426: 418: 410: 398: 389: 381: 372: 355: 334:S. Bernstein 331: 327: 300: 291: 287: 279: 271: 247:block design 237:block design 224: 220: 216: 213:Intervention 212: 206: 200: 196: 192: 189:double blind 184: 180: 174: 168: 164: 152:interactions 145: 135:Latin square 124: 101: 91: 76: 70:January 2018 67: 48: 7908:Statistics 7787:WikiProject 7702:Cartography 7664:Jurimetrics 7616:Reliability 7347:Time domain 7326:(Ljung–Box) 7248:Time-series 7126:Categorical 7110:Time-series 7102:Categorical 7037:(Bernoulli) 6872:Correlation 6852:Correlation 6648:Jarque–Bera 6620:Chi-squared 6382:M-estimator 6335:Asymptotics 6279:Sufficiency 6046:Interaction 5958:Replication 5938:Effect size 5895:Violin plot 5875:Radar chart 5855:Forest plot 5845:Correlogram 5795:Kendall's τ 5352:Box–Behnken 5233:Mixed model 5164:Confounding 5159:Interaction 5149:Effect size 5119:Sample size 4988:WikiProject 4903:Cartography 4865:Jurimetrics 4817:Reliability 4548:Time domain 4527:(Ljung–Box) 4449:Time-series 4327:Categorical 4311:Time-series 4303:Categorical 4238:(Bernoulli) 4073:Correlation 4053:Correlation 3849:Jarque–Bera 3821:Chi-squared 3583:M-estimator 3536:Asymptotics 3480:Sufficiency 3247:Interaction 3159:Replication 3139:Effect size 3096:Violin plot 3076:Radar chart 3056:Forest plot 3046:Correlogram 2996:Kendall's τ 1354:(of factor 1334:(of factor 448:Replication 315:variability 303:statistical 229:randomizing 94:statistical 62:introducing 7937:Fano plane 7902:Hypergraph 7654:Demography 7372:ARMA model 7177:Regression 6754:(Friedman) 6715:(Wilcoxon) 6653:Normality 6643:Lilliefors 6590:Student's 6466:Resampling 6340:Robustness 6328:divergence 6318:Efficiency 6256:(monotone) 6251:Likelihood 6168:Population 6001:Stratified 5953:Population 5772:Dependence 5728:Count data 5659:Percentile 5636:Dispersion 5569:Arithmetic 5504:Statistics 5308:randomized 5306:Completely 5277:covariance 5039:Scientific 4855:Demography 4573:ARMA model 4378:Regression 3955:(Friedman) 3916:(Wilcoxon) 3854:Normality 3844:Lilliefors 3791:Student's 3667:Resampling 3541:Robustness 3529:divergence 3519:Efficiency 3457:(monotone) 3452:Likelihood 3369:Population 3202:Stratified 3154:Population 2973:Dependence 2929:Count data 2860:Percentile 2837:Dispersion 2770:Arithmetic 2705:Statistics 2612:Biometrika 2276:2010-02-22 2039:2010.14078 1958:RootzĂ©n H. 1926:2023-12-11 1842:2023-12-11 1809:2023-12-11 1761:(1): 1–7. 1733:References 1615:for which 1503:for which 429:confounded 148:confounded 45:references 7887:Incidence 7035:Logistic 6802:posterior 6728:Rank sum 6476:Jackknife 6471:Bootstrap 6289:Bootstrap 6224:Parameter 6173:Statistic 5968:Statistic 5880:Run chart 5865:Pie chart 5860:Histogram 5850:Fan chart 5825:Bar chart 5707:L-moments 5594:Geometric 5317:Factorial 5201:inference 5181:Covariate 5143:Treatment 5129:Treatment 4236:Logistic 4003:posterior 3929:Rank sum 3677:Jackknife 3672:Bootstrap 3490:Bootstrap 3425:Parameter 3374:Statistic 3169:Statistic 3081:Run chart 3066:Pie chart 3061:Histogram 3051:Fan chart 3026:Bar chart 2908:L-moments 2795:Geometric 2285:cite book 2098:0146-0404 2084:(8): 11. 2056:1076-9986 1775:0003-1305 1594:⋅ 1588:¯ 1560:¯ 1552:− 1544:⋅ 1538:¯ 1485:⋅ 1476:¯ 1448:¯ 1440:− 1435:⋅ 1426:¯ 1388:¯ 1366:Estimates 1184:μ 1067:Treatment 757:⋮ 686:⋯ 638:⋮ 617:⋮ 596:⋮ 454:replicate 431:effects. 207:Elevation 8064:Category 8001:Theorems 7912:Blocking 7882:Geometry 7749:Category 7442:Survival 7319:Johansen 7042:Binomial 6997:Isotonic 6584:(normal) 6229:location 6036:Blocking 5991:Sampling 5870:Q–Q plot 5835:Box plot 5817:Graphics 5712:Skewness 5702:Kurtosis 5674:Variance 5604:Heronian 5599:Harmonic 5440:Category 5435:Glossary 5241:Bayesian 5219:Bayesian 5175:Blocking 5154:Contrast 5134:blocking 5094:Bayesian 5081:Blinding 5071:validity 5068:external 5064:Internal 4950:Category 4643:Survival 4520:Johansen 4243:Binomial 4198:Isotonic 3785:(normal) 3430:location 3237:Blocking 3192:Sampling 3071:Q–Q plot 3036:Box plot 3018:Graphics 2913:Skewness 2903:Kurtosis 2875:Variance 2805:Heronian 2800:Harmonic 2589:(1987). 2518:(1988). 2475:(2005). 2452:(2008). 2429:(2008). 2406:(1979). 2256:(2008). 2116:32645134 1665:See also 1524: : 1412: : 1375: : 193:blocking 159:Examples 102:blocking 92:In the 7775:Commons 7722:Kriging 7607:Process 7564:studies 7423:Wavelet 7256:General 6423:Plug-in 6217:L space 5996:Cluster 5697:Moments 5515:Outline 5333:Taguchi 5301:Designs 5059:Control 4976:Commons 4923:Kriging 4808:Process 4765:studies 4624:Wavelet 4457:General 3624:Plug-in 3418:L space 3197:Cluster 2898:Moments 2716:Outline 2667:2238364 2632:2333423 2396:2684574 2367:1994124 2246:0030181 2238:2984159 2204:2284277 2175:2681737 2107:7425741 2007:4515556 1783:2682986 1082:Block 3 1077:Block 2 1072:Block 1 787:Example 460:Example 344:Example 301:In the 201:females 176:placebo 121:History 58:improve 7858:Fields 7644:Census 7234:Normal 7182:Manova 7002:Robust 6752:2-way 6744:1-way 6582:-test 6253:  5830:Biplot 5621:Median 5614:Lehmer 5556:Center 5373:(GRBD) 5273:Ancova 5261:Manova 5196:Models 5041:method 4845:Census 4435:Normal 4383:Manova 4203:Robust 3953:2-way 3945:1-way 3783:-test 3454:  3031:Biplot 2822:Median 2815:Lehmer 2757:Center 2665:  2630:  2599:  2571:  2552:  2530:  2504:  2483:  2460:  2437:  2414:  2394:  2365:  2355:  2332:  2309:  2266:  2244:  2236:  2202:  2173:  2114:  2104:  2096:  2054:  2005:  1917:  1881:  1781:  1773:  1373:μ 1319:μ 1266:where 1235:  799:time. 185:female 173:, and 47:, but 7268:Trend 6797:prior 6739:anova 6628:-test 6602:-test 6594:-test 6501:Power 6446:Pivot 6239:shape 6234:scale 5684:Shape 5664:Range 5609:Heinz 5584:Cubic 5520:Index 5365:Block 4469:Trend 3998:prior 3940:anova 3829:-test 3803:-test 3795:-test 3702:Power 3647:Pivot 3440:shape 3435:scale 2885:Shape 2865:Range 2810:Heinz 2785:Cubic 2721:Index 2663:JSTOR 2628:JSTOR 2392:JSTOR 2234:JSTOR 2200:JSTOR 2171:JSTOR 2034:arXiv 1779:JSTOR 1574:with 1462:with 1153:Model 710:with 465:Table 197:males 115:ANOVA 7992:Dual 7501:Test 6701:Sign 6553:Wald 5626:Mode 5564:Mean 5199:and 5132:and 5066:and 4702:Test 3902:Sign 3754:Wald 2827:Mode 2765:Mean 2597:ISBN 2569:ISBN 2550:ISBN 2528:ISBN 2502:ISBN 2481:ISBN 2458:ISBN 2435:ISBN 2412:ISBN 2353:ISBN 2330:ISBN 2307:ISBN 2291:link 2264:ISBN 2112:PMID 2094:ISSN 2052:ISSN 1915:ISBN 1879:ISBN 1771:ISSN 1287:and 811:Let 199:and 183:and 181:male 170:drug 6681:BIC 6676:AIC 3882:BIC 3877:AIC 2653:doi 2620:doi 2384:doi 2226:doi 2222:111 2192:doi 2163:doi 2102:PMC 2086:doi 2044:doi 1993:doi 1907:doi 1871:doi 1763:doi 142:Use 8066:: 5092:: 2661:. 2649:34 2647:. 2643:. 2626:. 2616:42 2614:. 2585:; 2390:. 2380:49 2378:. 2363:MR 2361:. 2287:}} 2283:{{ 2242:MR 2240:. 2232:. 2198:. 2188:65 2186:. 2169:. 2159:23 2157:. 2110:. 2100:. 2092:. 2082:61 2080:. 2076:. 2064:^ 2050:. 2042:. 2030:47 2028:. 2024:. 2003:MR 2001:. 1989:84 1987:. 1983:. 1913:, 1901:, 1877:. 1869:. 1851:^ 1835:. 1818:^ 1802:. 1791:^ 1777:. 1769:. 1759:34 1757:. 1753:. 1741:^ 1622:= 1510:= 1294:= 1283:= 1274:ij 1139:1 1136:1 1133:1 1130:4 1125:1 1122:1 1119:1 1116:3 1111:1 1108:1 1105:1 1102:2 1097:1 1094:1 1091:1 1088:1 1053:, 1021:3 1018:4 1013:2 1010:4 1005:1 1002:4 997:3 994:3 989:2 986:3 981:1 978:3 973:3 970:2 965:2 962:2 957:1 954:2 949:3 946:1 941:2 938:1 933:1 930:1 895:* 888:= 698:* 678:* 671:* 578:* 571:* 564:* 555:4 541:* 534:* 525:3 511:* 502:2 444:. 340:. 277:. 117:. 100:, 7822:e 7815:t 7808:v 6626:G 6600:F 6592:t 6580:Z 6299:V 6294:U 5496:e 5489:t 5482:v 5279:) 5275:( 5267:) 5263:( 5023:e 5016:t 5009:v 3827:G 3801:F 3793:t 3781:Z 3500:V 3495:U 2697:e 2690:t 2683:v 2669:. 2655:: 2634:. 2622:: 2605:. 2577:. 2558:. 2536:. 2510:. 2489:. 2466:. 2443:. 2420:. 2398:. 2386:: 2369:. 2338:. 2315:. 2293:) 2279:. 2248:. 2228:: 2206:. 2194:: 2177:. 2165:: 2118:. 2088:: 2058:. 2046:: 2036:: 2009:. 1995:: 1909:: 1887:. 1873:: 1845:. 1812:. 1785:. 1765:: 1626:. 1624:j 1620:2 1617:X 1613:Y 1597:j 1585:Y 1557:Y 1547:j 1535:Y 1522:j 1519:B 1514:. 1512:i 1508:1 1505:X 1501:Y 1482:i 1473:Y 1445:Y 1432:i 1423:Y 1410:i 1407:T 1385:Y 1361:) 1359:2 1356:X 1352:j 1348:j 1345:B 1341:) 1339:1 1336:X 1332:i 1328:i 1325:T 1313:2 1310:X 1304:1 1301:X 1296:j 1292:2 1289:X 1285:i 1281:1 1278:X 1271:Y 1250:r 1247:o 1244:r 1241:r 1238:e 1232:m 1229:o 1226:d 1223:n 1220:a 1217:r 1213:+ 1208:j 1204:B 1200:+ 1195:i 1191:T 1187:+ 1181:= 1176:j 1173:i 1169:Y 1147:k 1058:2 1055:X 1051:1 1048:X 1044:2 1041:X 1037:1 1034:X 924:2 921:X 916:1 913:X 900:2 897:L 893:1 890:L 886:N 880:n 875:2 872:X 868:2 865:L 860:1 857:X 853:1 850:L 846:) 844:2 841:X 837:1 834:X 830:k 823:2 820:X 816:1 813:X 781:k 776:k 774:L 745:4 742:L 736:3 733:L 727:2 724:L 718:1 715:L 702:k 700:L 676:2 673:L 669:1 666:L 661:k 655:k 583:4 580:L 576:3 573:L 569:2 566:L 562:1 559:L 546:3 543:L 539:2 536:L 532:1 529:L 516:2 513:L 509:1 506:L 493:n 487:k 225:n 221:n 217:n 83:) 77:( 72:) 68:( 54:. 20:)

Index

Randomized block design
references
inline citations
improve
introducing
Learn how and when to remove this message
statistical
design of experiments
experimental units
Ronald Fisher
ANOVA
Ronald A. Fisher
analysis of variance
Latin square
confounded
interactions
drug
placebo
double blind
randomizing
completely randomized design
block design
control group
treatment group


independent and dependent variables
Randomization
statistical
design of experiments

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑