ANOVA

In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE=399.6. The MSE for this situation is

14.8

The critical F value with 8 numerator and 29 denominator degrees of freedom at α= 0.01 is

3.20

In a completely randomized design involving four treatments, the following information is provided. (Treatment 1) (Treatment 2) (Treatment 3) (Treatment 4) Sample Size. 50 18. 15. 17 Sample Mean. 32. 38. 42. 48 The overall mean (the grand mean) for all treatments is

37.3

SSTR = 6,750 H0: μ1=μ2=μ3=μ4 SSE = 8,000 Ha: at least one mean is different nT = 20 The test statistic to test the null hypothesis equals

4.5

In an analysis of variance problem if SST=120 and SSTR=80, then SSE is

40

An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom for the critical value of F are

5 numerator and 114 denominator degrees of freedom

The F ratio in a completely randomized ANOVA is the ratio of

MSTR/MSE

SSTR = 6,750 H0: μ1=μ2=μ3=μ4 SSE = 8,000 Ha: at least one mean is different nT = 20 The null hypothesis is to be tested at 5% level of significance. The p-value is

between .01 and .025

ANOVA

can be used to test for the equality of three or more population means H0: μ1=μ2=μ3=μ4 Ha: Not all population means are equal

In the ANOVA, treatments refers to

different levels of a factor

The variable of interest in an ANOVA procedure is called

factor

A completely randomized design

is an experimental design in which the treatments are randomly assigned to the experimental units

In an analysis of variance, one estimate of σ^2 is based upon the differences between the treatments and the

overall sample mean

Experimental units are

the objects of interest in the experiment