BUS 308 week 3 Assignment

profilexoon
 (Not rated)
 (Not rated)
Chat

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 between males and females in the population.

 

 

 

 

Now we need to see if they differ among the grades. Is the average performace rating the same for all grades?

 

 

 

 

(Assume variances are equal across the grades for this ANOVA.)

 

A

B

C

D

E

F

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Null Hypothesis:

 

 

 

 

 

 

 

 

 

 

 

 

 

Alt. Hypothesis:

 

 

 

 

 

 

 

 

 

 

 

 

 

Place  B17 in Outcome range box.

 

 

 

 

 

 

 

 

 

 

 

Interpretation:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What is the p-value:

 

 

 

 

 

 

 

 

 

 

 

 

Is P-value < 0.05?

 

 

 

 

 

 

 

 

 

 

 

 

Do we REJ or Not reject the null?

 

 

 

 

 

 

 

 

If  the null hypothesis was rejected, what is the effect size value (eta squared):

 

 

 

 

 

 

 

 

 

 

 

 

Meaning of effect size measure:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What does that decision mean in terms of our equal pay question:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

While it appears that average salaries per each grade differ, we need to test this assumption.

 

 

 

 

 

 Is the average salary the same for each of the grade levels? (Assume equal variance, and use the analysis toolpak function ANOVA.)  

 

Use the input table to the right to list salaries under each grade level.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Null Hypothesis:

 

 

 

 

 

 

 

 

 

 

 

 

 

Alt. Hypothesis:

 

 

 

 

 

 

A

B

C

D

E

F

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Place  B55 in Outcome range box.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What is the p-value:

 

 

 

 

Is P-value < 0.05?

 

 

 

 

Do you reject or not reject the null hypothesis:

If  the null hypothesis was rejected, what is the effect size value (eta squared):

 

 

 

 

Meaning of effect size measure:

 

 

 

 

 

 

 

 

 

Interpretation:

 

 

 

 

 

 

3

The table and analysis below demonstrate a 2-way ANOVA with replication.  Please interpret the results.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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

 

Ho: 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

1.02908333

1.075

1.052042

 

 

 

 

 

 

 

 

 

0.956

1.000

 

Variance

0.00668645

0.00652

0.006866

 

 

 

 

 

 

 

 

 

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

1.06591667

1.065583

1.06575

 

 

 

 

 

 

 

 

 

1.043

0.956

 

Variance

0.00610245

0.004213

0.004933

 

 

 

 

 

 

 

 

 

1.043

1.129

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1.145

1.149

 

Total

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Count

24

24

 

 

 

 

 

 

 

 

 

 

 

 

 

Sum

25.14

25.687

 

 

 

 

 

 

 

 

 

 

 

 

 

Average

1.0475

1.070292

 

 

 

 

 

 

 

 

 

 

 

 

 

Variance

0.00647035

0.005156

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ANOVA

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Source of Variation

SS

df

MS

F

P-value

F crit

 

 

 

 

 

 

 

 

 

Sample

0.00225502

1

0.002255

0.383482

0.538939

4.061706

  (This is the row variable or gender.)

 

 

 

 

 

Columns

0.00623352

1

0.006234

1.060054

0.30883

4.061706

  (This is the column variable or Degree.)

 

 

 

 

 

Interaction

0.00641719

1

0.006417

1.091288

0.301892

4.061706

 

 

 

 

 

 

 

 

 

Within

0.25873675

44

0.00588

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Total

0.27364248

47

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Interpretation:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

For Ho: Average compas by gender are equal

Ha: Average compas by gender are not equal

 

 

 

 

 

 

 

 

 

 

 

 

What is the p-value:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Is P-value < 0.05?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Do you reject or not reject the null hypothesis:

 

 

 

 

 

 

 

 

 

 

 

If  the null hypothesis was rejected, what is the effect size value (eta squared):

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Meaning of effect size measure:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

For Ho: Average salaries are equal for all grades  

Ha: Average salaries are not equal for all grades

 

 

 

 

 

 

 

 

 

 

 

What is the p-value:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Is P-value < 0.05?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Do you reject or not reject the null hypothesis:

 

 

 

 

 

 

 

 

 

 

 

If  the null hypothesis was rejected, what is the effect size value (eta squared):

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Meaning of effect size measure:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

For: Ho: Interaction is not significant

Ha: Interaction is significant

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What is the p-value:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Do you reject or not reject the null hypothesis:

 

 

 

 

 

 

 

 

 

 

 

If  the null hypothesis was rejected, what is the effect size value (eta squared):

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Meaning of effect size measure:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What do these decisions mean in terms of our equal pay question:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4

Many companies consider the grade midpoint to be the "market rate" - what is needed to hire a new employee.

 

 

Midpoint

Salary

 

 

Does the company, on average, pay its existing employees at or above the market rate?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Null Hypothesis:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Alt. Hypothesis:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Statistical test to use:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Place  the cursor in B160 for correl.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

What is the p-value:

 

 

 

 

 

 

 

 

 

 

Is P-value < 0.05?

 

 

 

 

 

 

 

 

 

 

Do we REJ or Not reject the null?

 

 

 

 

 

 

 

 

If  the null hypothesis was rejected, what is the effect size value:

Since the effect size was not discussed in this chapter, we do not have a formula for it - it differs from the non-paired t.

 

 

 

 

 

Meaning of effect size measure:

NA

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Interpretation:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5.  

 Using the results up thru this week, what are your conclusions about gender equal pay for equal work at this point?

    • 9 years ago
    BUS 308 week 3 Assignment Tutorial Already Graded A+++

    Purchase the answer to view it

    blurred-text
    • attachment
      solutions_bus_308_week_3.xlsx