Analysis of Variance and Covariance with Repeated Measures
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Analysis of Variance and Covariance with Repeated Measures
2VAnalysis of Variance and Covariance with Repeated Measures2V performs analysis of variance or covariance for a wide variety of fixed-effects and rep Analysis of Variance and Covariance with Repeated Measures peated-measures designs. You can analyze models that have grouping factors, within factors, or both. Grouping factors are also called between-groups or whole-plot factors. Within-subjects factors are also called trial, split-plot, repeated measures, or simply within factors. The grouping and the wit Analysis of Variance and Covariance with Repeated Measures hin factors must be crossed (not nested) in 2V. Group sizes may be unequal for combinations of grouping factors, but each subject must have a responseAnalysis of Variance and Covariance with Repeated Measures
for every combination of within factors. You can analyze both complete and incomplete fixed-effects factorial designs, including Latin square designs2VAnalysis of Variance and Covariance with Repeated Measures2V performs analysis of variance or covariance for a wide variety of fixed-effects and rep Analysis of Variance and Covariance with Repeated Measures factors in addition to the overall analysis of variance. The program can also perform contrasts over within factors.Program 9D serves as a helpful adjunct to 2V; it can provide plots of group means and means of repeated measures, as well as repeated measures plots for individual subjects. For a fix Analysis of Variance and Covariance with Repeated Measures ed-effects two-way analysis of variance with detailed data screening, see program 7D. For mixed models with equal cell sizes, see program 8V; for unbaAnalysis of Variance and Covariance with Repeated Measures
lanced mixed models, see 3V. For a multivariate as well as a univariate approach to repeated measures analysis of variance, see program 4V. When some 2VAnalysis of Variance and Covariance with Repeated Measures2V performs analysis of variance or covariance for a wide variety of fixed-effects and rep Analysis of Variance and Covariance with Repeated Measures rix. See Volume 2 for descriptions of 3V, 4V, 5V, and 8V.In this chapter, we present examples of a variety of designs for the analysis of variance and covariance with repeated and nonrepeated factors. (For a general introduction to these subjects see Cox and Snell, 1981; Dunn and Clark, 1987; and Ki Analysis of Variance and Covariance with Repeated Measures rk, 1982.) One of the examples may be similar to your design. If so, you may want to skip the discussion of the other examples. We describe several exAnalysis of Variance and Covariance with Repeated Measures
amples in detail to explain the sums of squares and test statistics computed by 2V. If your example has any grouping factors, we recommend that you re2VAnalysis of Variance and Covariance with Repeated Measures2V performs analysis of variance or covariance for a wide variety of fixed-effects and rep Analysis of Variance and Covariance with Repeated Measures eceding Example 2V.6 and 2V.7. The latter two examples both illustrate the same design •with one grouping and one within factor; in 2V.7, results for an orthogonal decomposition arc added.Where to Find ItFixed EffectsFactorial Designs(Grouping VariablesOnly)ExamplesFixed Effects Factorial Designs... Analysis of Variance and Covariance with Repeated Measures ..„...................... 5222V.1 Analysis of variance with two grouping factors........5242V2 Analysis of variance with two grouping factorsand twoAnalysis of Variance and Covariance with Repeated Measures
covariates...................................5272V3 Latin square design_____________„__________________...__5312V.4 Incomplete block design..........2VAnalysis of Variance and Covariance with Repeated Measures2V performs analysis of variance or covariance for a wide variety of fixed-effects and rep Analysis of Variance and Covariance with Repeated Measures 52V.6 One grouping and one within factor................ 5382V.7 Miniplots and breaking the within factorinto orthogonal components...................... „..5402V.8 One grouping and two wnthin factors...................5422V.9 Contrast over a within factor________________________„...5472V.10 One Analysis of Variance and Covariance with Repeated Measures grouping and one within factor with acovariate constant across trials.......... „....5492V.11 One grouping and two within factors with acovanateAnalysis of Variance and Covariance with Repeated Measures
changing across trials---------------------„....551Special Features•Miniplots of cell means.......................... 553•Box-Cox diagnostic pl2VAnalysis of Variance and Covariance with Repeated Measures2V performs analysis of variance or covariance for a wide variety of fixed-effects and rep Analysis of Variance and Covariance with Repeated Measures 554•Predicted values and residuals..........................5552VAnalysis of Variance and Covariance with Repeated Measures2V performs analysis of variance or covariance for a wide variety of fixed-effects and repGọi ngay
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