And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05a. If the main effect of Minority Classification is significant, describe the main effect of Minority Classification. Include the overall means and corresponding standard deviations in your description. Example =If there is a main effect of maternal diet, is the main effect of maternal diet significant? Why? Provide F-statistic, df of numerator, df of denominator, and p- value?Yes, the main effect of maternal diet is significant because p is less than alpha, F(1,16) = 40.67, p = .0001 Jnivariate Analysis of VarianceGenderMinority ClassificationMean画TitleStd. DeviationFemaleNoNotesLActive DatasetBetween-Subjects FactorsTests of Between-Subjects Effer513,351.22$3,064.901176Yes$11,951.25$1,928.54740Total513,091.97$2,935.599216MaleNo$21,593.81$9,677.754-ogUnivariate Analysis of Variance194Yes$16,383.7555,570.35964會TitleTotal$20,301.40$9,111.781258NotesTotalNo$17,673.0158,392.419370WarningsBetween-Subjects FactorsL Tests of Between-Subjects EfferYes$14,678.94$5,008.239104Total$17,016.09$7,870.638474LogUnivariate Analysis of VarianceTitleTests of Between-Subjects EffectsNotesDependent Variable: Beginning SalaryKO WarningsBetween-Subjects FactorsDescriptive StatisticsTests of Between-Subjects EfferType II Sumof SquaresdfMean SquareSig.SourceCorrected Model74809754883249365849653.713.000Intercept7.781E+1017.781E+101676.084.00031219088381312190883867.246.000gender849034957.118.288.000minority849034957.1282090873.76.076.014282090873.7gender* minority47046425381.872.182E+10Error4741.665E+11Total4732.930E+10Corrected Totala. R Squared = .255 (Adjusted R Squared .251)Double click to edit LogC UtilitiesExtensionsWindowOutput[自LogEUnivariate Analysis ofbecause there are fewer than three groups.會TitleNotesBetween-Subjects FactorsActive DatasetValue LabelBetween-SubjectsGenderTests of Between-fFemale216LogMale258EUnivariate Analysis of VMinority Classification0.No370會Title1Yes104NotesWarningsBetween-SubjectsTests of Between-Descriptive StatisticsLogDependent Variable: Beginning SalaryEUnivariate Analysis ofGenderMinority ClassificationMeanStd. DeviationNTitleFemaleNo$13,351.22$3,064.901176NotesYes$11,951.25$1,928.54740WarningsTotal$13,091.97$2,935.599216Between-Subjects$21,593.81$9,677.754194Descriptive StatistMaleNoTests of Between-$16,383.75$5,570.35964Yes$20,301.40$9,111.781258Total$17,673.01$8,392.419370TotalNo104$14,678.94$5,008.239Yes474$17,016.09$7,870.638Total

Answered: And conduct a two-factor ANOVA to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05

a. If the main effect of Minority Classification is significant, describe the main effect of Minority Classification. Include the overall means and corresponding standard deviations in your description.

Example =

If there is a main effect of maternal diet, is the main effect of maternal diet significant? Why? Provide F-statistic, df of numerator, df of denominator, and p- value?

Yes, the main effect of maternal diet is significant because p is less than alpha, F(1,16) = 40.67, p = .0001

Jnivariate Analysis of Variance
Gender
Minority Classification
Mean
画Title
Std. Deviation
Female
No
Notes
LActive Dataset
Between-Subjects Factors
Tests of Between-Subjects Effer
513,351.22
$3,064.901
176
Yes
$11,951.25
$1,928.547
40
Total
513,091.97
$2,935.599
216
Male
No
$21,593.81
$9,677.754
-og
Univariate Analysis of Variance
194
Yes
$16,383.75
55,570.359
64
會Title
Total
$20,301.40
$9,111.781
258
Notes
Total
No
$17,673.01
58,392.419
370
Warnings
Between-Subjects Factors
L Tests of Between-Subjects Effer
Yes
$14,678.94
$5,008.239
104
Total
$17,016.09
$7,870.638
474
Log
Univariate Analysis of Variance
Title
Tests of Between-Subjects Effects
Notes
Dependent Variable: Beginning Salary
KO Warnings
Between-Subjects Factors
Descriptive Statistics
Tests of Between-Subjects Effer
Type II Sum
of Squares
df
Mean Square
Sig.
Source
Corrected Model
7480975488
3
2493658496
53.713
.000
Intercept
7.781E+10
1
7.781E+10
1676.084
.000
3121908838
1
3121908838
67.246
.000
gender
849034957.1
18.288
.000
minority
849034957.1
282090873.7
6.076
.014
282090873.7
gender* minority
470
46425381.87
2.182E+10
Error
474
1.665E+11
Total
473
2.930E+10
Corrected Total
a. R Squared = .255 (Adjusted R Squared .251)
Double click to edit Log
C

Utilities
Extensions
Window
Output
[自Log
EUnivariate Analysis of
because there are fewer than three groups.
會Title
Notes
Between-Subjects Factors
Active Dataset
Value Label
Between-Subjects
Gender
Tests of Between-
f
Female
216
Log
Male
258
EUnivariate Analysis of V
Minority Classification
0.
No
370
會Title
1
Yes
104
Notes
Warnings
Between-Subjects
Tests of Between-
Descriptive Statistics
Log
Dependent Variable: Beginning Salary
EUnivariate Analysis of
Gender
Minority Classification
Mean
Std. Deviation
N
Title
Female
No
$13,351.22
$3,064.901
176
Notes
Yes
$11,951.25
$1,928.547
40
Warnings
Total
$13,091.97
$2,935.599
216
Between-Subjects
$21,593.81
$9,677.754
194
Descriptive Statist
Male
No
Tests of Between-
$16,383.75
$5,570.359
64
Yes
$20,301.40
$9,111.781
258
Total
$17,673.01
$8,392.419
370
Total
No
104
$14,678.94
$5,008.239
Yes
474
$17,016.09
$7,870.638
Total

Expert Solution

Step 1

(a). Describe the main effect of minority classification:

The overall mean and standard deviation of minority classification are $17016.09 and $7870.638.

The null and alternate hypotheses are stated below:

Null hypothesis H₀:

H₀: Main effect of minority classification is not significant.

Alternative hypothesis H₁:

H₁: Main effect of minority classification is significant.

From the above obtained output below values are reported:

The F-test statistic is F = 18.288.

The numerator degrees of freedom is d.f_Num = 1

The denominator degrees of freedom is d.f_denom = 470.

The P-value is P-value = 0.00.

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