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PRINCIPLES OF EXPERIMENTAL DESIGN
THE STANDARD NORMAL DISTRIBUTION
TESTS FOR MEANS OF RANDOM SAMPLES
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analysis of covariance analysis of variance assigned at random assume calculated coefficients column corresponding data in Table degrees of freedom dependent variable differ significantly equal to zero error mean square example EXPECTATION OF MEAN expected value F ratio F test factorial experiment freedom associated given id id interaction sum Latin square linear component main effects ment MSST MST/MSW multiplying null hypothesis number of degrees number of observations obtained organismic variable orthogonal comparisons outcome pairwise comparisons probability quadratic components random sample randomized block design randomized group design randomly assigned regression repeated measures replication result shown in Table SOURCE OF VARIATION square for testing SSAB subjects assigned subtraction sum of squares tabled value test of significance total sum treatment combinations treatment effect treatment factor treatment groups treatment mean square treatment sum two-factor interactions two-sided test two-way table Type I error value of F variance-covariance matrix within-treatment sum