# Annova Examples

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Anova Examples

1) A study of depression and exercise was conducted. Three groups were used: those in a designed exercise program; a group that is sedentary; and a group of runners. A depression rating was given to members in each group. Small random samples from each groups provided the following data:

Exercise Group: 63 58 61 60 62 59 SST = 56.00, SSE = 140.00 Sedentary Group: 71 64 68 65 67 67 Runners: 49 52 47 51 48

Fill in the ANOVA table.

|SOURCE |DF |SS |MS |F |
|Treatment | | | | |
|Error | | | | |
|Total | | | | |

Does the data provide sufficient evidence to indicate a difference among the population means? Test using [pic]

2) Four different leadership styles (A, B, C, and D) used by Big-Six accountants were investigated. As part of a designed study, 15 accountants were randomly selected from each of the four leadership style groups. Each accountant was asked to rate the degree to which their subordinates performed substandard field work on a 10-point scale -- called the "substandard work scale". The objective is to compare the mean substandard work scales of the four leadership styles. The data on substandard work scales for all 60 observations were subjected to an analysis of variance.

ONE-WAY ANOVA FOR SUBSTAND BY STYLE

|SOURCE |DF |SS |MS |F |P-value |
|Treatment | |2220 | | |0.003 |
|Error

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