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