STATS QUIZ-ANOVA EXAM QUESTIONS
AND ANSWERS (VERIFIED AND
UPDATED)
1 way ANOVA - ANS used to test the claim that three or more population means are equal
Null hypothesis of 1 way anova - ANS u1=u2=u3etc.
Assumptions (1way anova) - ANS data is randomly sampled, alternative hypothesis is that at
least one of the means is different
variation - ANS the sum of squares of the deviations between a value and the mean of the
value
Between group variance - ANS SS(B) variation between each sample means and the grand
mean
Within group variance - ANS SS(W) weighted total of the individual variations, this is done
using the df
Grand Mean - ANS the average of all the values when the factor is ignored, is a weighted
average of the individual sample means
@2026/2027 ALLRIGHTS RESERVED.
, degrees of freedom - ANS occurs for each value that can vary before the rest of the values
are predetermined
F test statistic - ANS the ratio of 2 sample variances, MS(B)/MS(W)
MS(W) - ANS aka pooled estimate, weighted average of the individual variances
MS(Total) - ANS variance of the response variable
Mean of Squares (MS) - ANS they are an average squared deviation from the mean and are
found bu dividing the variation by the df, SS/df
If F=1 the results are... - ANS not significant
ANOVA equation - ANS variability between/variability within
Assumptions for F test statistic - ANS all populations are normally distributed, all populations
have the same variance
Planned contrasts - ANS subset of all possible comparisons that the researcher specifies in
advance of the study, examines specific differences between conditions
Post hoc tests - ANS tests you do after ANOVA when you didn't know what to expect, Tukey
test
Bonferroni Procedure - ANS 1. Divide the overall significance level by the number of planned
contrasts, 2. Use the resulting significance level for each comparison of a pair of means
The more comparisons you make the ... your alpha level becomes
@2026/2027 ALLRIGHTS RESERVED.
AND ANSWERS (VERIFIED AND
UPDATED)
1 way ANOVA - ANS used to test the claim that three or more population means are equal
Null hypothesis of 1 way anova - ANS u1=u2=u3etc.
Assumptions (1way anova) - ANS data is randomly sampled, alternative hypothesis is that at
least one of the means is different
variation - ANS the sum of squares of the deviations between a value and the mean of the
value
Between group variance - ANS SS(B) variation between each sample means and the grand
mean
Within group variance - ANS SS(W) weighted total of the individual variations, this is done
using the df
Grand Mean - ANS the average of all the values when the factor is ignored, is a weighted
average of the individual sample means
@2026/2027 ALLRIGHTS RESERVED.
, degrees of freedom - ANS occurs for each value that can vary before the rest of the values
are predetermined
F test statistic - ANS the ratio of 2 sample variances, MS(B)/MS(W)
MS(W) - ANS aka pooled estimate, weighted average of the individual variances
MS(Total) - ANS variance of the response variable
Mean of Squares (MS) - ANS they are an average squared deviation from the mean and are
found bu dividing the variation by the df, SS/df
If F=1 the results are... - ANS not significant
ANOVA equation - ANS variability between/variability within
Assumptions for F test statistic - ANS all populations are normally distributed, all populations
have the same variance
Planned contrasts - ANS subset of all possible comparisons that the researcher specifies in
advance of the study, examines specific differences between conditions
Post hoc tests - ANS tests you do after ANOVA when you didn't know what to expect, Tukey
test
Bonferroni Procedure - ANS 1. Divide the overall significance level by the number of planned
contrasts, 2. Use the resulting significance level for each comparison of a pair of means
The more comparisons you make the ... your alpha level becomes
@2026/2027 ALLRIGHTS RESERVED.
