# Bus 308 Week 3 Anova and Paired T-Test Essay

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At this point we know the following about male and female salaries.

a. Male and female overall average salaries are not equal in the population.

b. Male and female overall average compas are equal in the population, but males are a bit more spread out.

c. The male and female salary range are almost the same, as is their age and service.

d. Average performance ratings per gender are equal.

Let's look at some other factors that might influence pay - education(degree) and performance ratings.

1 Last week, we found that average performance ratings do not differ

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BA MA Ho: Average compas by gender are equal

Male 1.017 1.157 Ha: Average compas by gender are not equal

0.870 0.979 Ho: Average compas are equal for each degree

1.052 1.134 Ha: Average compas are not equal for each degree

1.175 1.149 Ho: Interaction is not significant

1.043 1.043 Ha: Interaction is significant

1.074 1.134

1.020 1.000 Perform analysis:

0.903 1.122

0.982 0.903 Anova: Two-Factor With Replication

1.086 1.052

1.075 1.140 SUMMARY BA MA Total

1.052 1.087 Male

Female 1.096 1.050 Count 12 12 24

1.025 1.161 Sum 12.349 12.9 25.249

1.000 1.096 Average 1.029083333 1.075 1.052041667

0.956 1.000 Variance 0.006686447 0.006519818 0.006866042

1.000 1.041

1.043 1.043 Female

1.043 1.119 Count 12 12 24

1.210 1.043 Sum 12.791 12.787 25.578

1.187 1.000 Average 1.065916667 1.065583333 1.06575

1.043 0.956 Variance 0.006102447 0.004212811 0.004933413

1.043 1.129

1.145 1.149 Total

Count 24 24

Sum 25.14 25.687

Average 1.0475 1.070291667

Variance 0.006470348 0.005156129

ANOVA

Source of Variation SS df MS F P-value F crit

Sample 0.002255021 1 0.002255021 0.383482117 0.538938951 4.06170646 (This is the row variable or gender.)

Columns 0.006233521 1 0.006233521 1.060053961 0.308829563 4.06170646 (This is the