1 2 3 4 5 6 7 7 8 9 10 11 12 13 14 15 16 Williams Smith Logan 1 1 1 Alexander 1 1 1 2 S Oliver Daniels Jones Jefferson Madison 2 Kelley 2 Michaels 2 Acara 2 Welch Profession Teacher Score Valid N (listwise) Nurses Score Valid N (listwise) Psychol Score ogists Valid N (listwise) Tests of Normality Profession Score Teachers Christian McBride Elm 17 Toller Mason 18 3 60 RQ: Is there a significant difference between job satisfaction among teachers, nurses, or psychologist? Descriptive stats Nurses Psychologis N 6 6 2 6 6 3 3 3 3 3 254 .210 80 86 91 80 87 88 98 85 88 89 87 88 65 56 58 Statistic 226 Mini Maxi mum 57 66 80 91 5 85 89 87.40 1.517 5 Std. Deviati on 85.33 4.457 mum Mean 56 66 60.33 4.227 Kolmogorov-Smirnov df 6 5 6 Sig. .200* .200* 200* ts *. This is a lower bound of the true significance. Statistic .891 .914 .877 Shapiro-Wilk df 6 5 6 Sig. .322 492 256 100 Nares 90 70 Descriptive Statistics 50 Profession Teachers Score Psychologists Teachers Score Valid Natwise) Score Valid Nawise) Score Valid (sise) Profession Teachers Nurses N 6 Statistic 226 254 6 S 5 6 5 Minimums 10 $5 Kolmogorov-Smirnov df 6 . 56 Nurses Profession Maximum Sig. 200⁰ 200⁰ 91 SP 66 Assumption of Normality The ANOVA requires that the assumption of normality be met. Normality was examined using Shapiro-Wilks. The assumption of normality was met. See Table 2 for Tests of Normality. Tests of Normality Statistic .891 914 Mean 85.33 033 $7.40 60.33 Psychologists S4 Deviation 4.457 5 Shapiro-Wilk df 6 1.517 4.227 Sig. 322 492 266

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6th Edition
ISBN:9781119256830
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Chapter1: Starting With Matlab
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I would appreciate someone checking my figures and checking my answers identified in red for accuracy in the attached files. I am a novice in statistics and apprecaite any help I can get. 

Assumption of Homogeneity of Variance
The ANOVA requires that the assumption of homogeneity of variance be met. The assumption of
homogeneity of variance was examined using the Lexene's test. The assumption of homogeneity of
variance was met where (p= .07). See Table 3 for Levene's test of Equality of Error Variance.
Table 3
Levene's Test of Equality of Error Variances
Levene
Statistic
3.147
1.678
1.678
dfl
2
2
2
a. Dependent variable: Score
b. Design: Intercept + Profession
df2
14
14
11.381
Score Based on Mean
Based on Median
Based on Median and
with adjusted df
Based on trimmed mean
3.087
2
14
.078
Tests the null hypothesis that the error variance of the dependent variable is equal
across groups.
Results
Sig.
.074
222
230
An ANOVA was run to see if there was a difference among job satisfaction in teachers, nurses, or
psychologist. The independent variable was type of job and the dependent variable was job satisfaction.
The researcher rejected the null hypothesis at the 95% confidence level where (2,14)=92.83, p= .07.
Partial eta square equaled (n²part = .930). The effect size was extremely large. There was a statistical
difference in job satisfaction among teachers (M= 85.33, SD 4.46), nurses (M= 87.40, SD = 1.52), and
psychologists (M= 60.33, SD = 4.23). See Table 4 for Tests of Between-Subjects Effects.
Table 4
Dependent Variable: Score
Type III Sum of
Squares
Source
Corrected Model
Intercept
Profession
Error
Total
Corrected Total
2623.898¹
101850.133
2623.898
197.867
103923.000
2821.765
R Squared 930 (Adjusted R. Squared = .920)
Table 5
Multiple Comparisons
Score
Tukey HSD
Profession
Psychologists
Teachers
Nurses
N
6
6
Tests of Between-Subjects Effects
Because the researcher rejected the null, post hoc analysis was required. A Tukey test was performed to compare all possible pairs of
group means among the three professions. Based on this test, it was found that psychologists (M= 60.33, SD=4.23) significantly lower job
satisfaction than teachers (M= 85.33, SD 4.46), and nurses (M=87.40, SD = 1.52). See Table 5 for Multiple Comparisons.
5
1
60.33
2
1
2
14
17
16
1.000
Sig.
Means for groups in homogeneous subsets are displayed.
Based on observed means.
The error term is Mean SquareError) = 14.133.
Uses Harmonic Mean Sample Size = .625.
Mean Square
1311.949
101850.133
1311.949
14.133
F
92.827
7206.377
92.827
Subset
2
Sig.
<.001
<.001
<.001
85.33
87.40
.636
☐
b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c. Alpha= .05.
Transcribed Image Text:Assumption of Homogeneity of Variance The ANOVA requires that the assumption of homogeneity of variance be met. The assumption of homogeneity of variance was examined using the Lexene's test. The assumption of homogeneity of variance was met where (p= .07). See Table 3 for Levene's test of Equality of Error Variance. Table 3 Levene's Test of Equality of Error Variances Levene Statistic 3.147 1.678 1.678 dfl 2 2 2 a. Dependent variable: Score b. Design: Intercept + Profession df2 14 14 11.381 Score Based on Mean Based on Median Based on Median and with adjusted df Based on trimmed mean 3.087 2 14 .078 Tests the null hypothesis that the error variance of the dependent variable is equal across groups. Results Sig. .074 222 230 An ANOVA was run to see if there was a difference among job satisfaction in teachers, nurses, or psychologist. The independent variable was type of job and the dependent variable was job satisfaction. The researcher rejected the null hypothesis at the 95% confidence level where (2,14)=92.83, p= .07. Partial eta square equaled (n²part = .930). The effect size was extremely large. There was a statistical difference in job satisfaction among teachers (M= 85.33, SD 4.46), nurses (M= 87.40, SD = 1.52), and psychologists (M= 60.33, SD = 4.23). See Table 4 for Tests of Between-Subjects Effects. Table 4 Dependent Variable: Score Type III Sum of Squares Source Corrected Model Intercept Profession Error Total Corrected Total 2623.898¹ 101850.133 2623.898 197.867 103923.000 2821.765 R Squared 930 (Adjusted R. Squared = .920) Table 5 Multiple Comparisons Score Tukey HSD Profession Psychologists Teachers Nurses N 6 6 Tests of Between-Subjects Effects Because the researcher rejected the null, post hoc analysis was required. A Tukey test was performed to compare all possible pairs of group means among the three professions. Based on this test, it was found that psychologists (M= 60.33, SD=4.23) significantly lower job satisfaction than teachers (M= 85.33, SD 4.46), and nurses (M=87.40, SD = 1.52). See Table 5 for Multiple Comparisons. 5 1 60.33 2 1 2 14 17 16 1.000 Sig. Means for groups in homogeneous subsets are displayed. Based on observed means. The error term is Mean SquareError) = 14.133. Uses Harmonic Mean Sample Size = .625. Mean Square 1311.949 101850.133 1311.949 14.133 F 92.827 7206.377 92.827 Subset 2 Sig. <.001 <.001 <.001 85.33 87.40 .636 ☐ b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed. c. Alpha= .05.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Profession
Teacher Score
S
Williams
Smith
Logan
1
1
1
Alexander 1
1
Nurses Score
Oliver
Daniels
Jones
1
2
2
Jefferson
Madison 2
Kelley
2
Michaels
2
2
3
Christian 3
McBride
3
Acara
Welch
Valid N
(listwise)
Valid N
(listwise)
16
Elm
17
Toller
18
Mason
3
60
RQ: Is there a significant difference between job satisfaction among teachers, nurses, or psychologist?
Descriptive stats
Psychol Score
ogists Valid N
(listwise)
Tests of Normality
Profession
Score Teachers
Nurses
Psychologis
N
6
6
5
5
3
3
6
6
mum
80
85
80
86
91
56
80
87
88
98
Statistic
.226
254
210
85
88
89
87
88
65
56
58
Mini Maxi
57
66
Std.
Deviati
on
Mean
mum
91 85.33 4.457
89 87.40 1.517
66
Kolmogorov-Smirnova
df
60.33 4.227
6
5
6
ts
. This is a lower bound of the true significance.
Sig.
200*
200*
200*
Statistic
.891
914
.877
Shapiro-Wilk
df
6
5
6
Sig.
322
.492
256
100
Teachers
Nurses
90
80
70
Descriptive Statistics
Score
60
Profession
50
Psychologists
Score
Valid N (listwise)
Score
Valid N (listwise)
Score
Teachers
Valid N (listwise)
Profession
Teachers
Nurses
Psychologists
N
6
Statistic
.226
254
210
6
5
5
6
6
Minimum
80
85
56
Nurses
Profession
Kolmogorov-Smimov"
df
6
5
6
Maximum
Sig.
200*
200*
200*
91
89
66
Mean
Statistic
.891
914
877
85.33
87.40
60.33
Assumption of Normality
The ANOVA requires that the assumption of normality be met. Normality was examined using
Shapiro-Wilks. The assumption of normality was met. See Table 2 for Tests of Normality.
Tests of Normality
Psychologists
Std. Deviation
4.457
Shapiro-Wilk
df
6
5
6
1.517
4.227
Sig.
322
.492
256
Transcribed Image Text:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Profession Teacher Score S Williams Smith Logan 1 1 1 Alexander 1 1 Nurses Score Oliver Daniels Jones 1 2 2 Jefferson Madison 2 Kelley 2 Michaels 2 2 3 Christian 3 McBride 3 Acara Welch Valid N (listwise) Valid N (listwise) 16 Elm 17 Toller 18 Mason 3 60 RQ: Is there a significant difference between job satisfaction among teachers, nurses, or psychologist? Descriptive stats Psychol Score ogists Valid N (listwise) Tests of Normality Profession Score Teachers Nurses Psychologis N 6 6 5 5 3 3 6 6 mum 80 85 80 86 91 56 80 87 88 98 Statistic .226 254 210 85 88 89 87 88 65 56 58 Mini Maxi 57 66 Std. Deviati on Mean mum 91 85.33 4.457 89 87.40 1.517 66 Kolmogorov-Smirnova df 60.33 4.227 6 5 6 ts . This is a lower bound of the true significance. Sig. 200* 200* 200* Statistic .891 914 .877 Shapiro-Wilk df 6 5 6 Sig. 322 .492 256 100 Teachers Nurses 90 80 70 Descriptive Statistics Score 60 Profession 50 Psychologists Score Valid N (listwise) Score Valid N (listwise) Score Teachers Valid N (listwise) Profession Teachers Nurses Psychologists N 6 Statistic .226 254 210 6 5 5 6 6 Minimum 80 85 56 Nurses Profession Kolmogorov-Smimov" df 6 5 6 Maximum Sig. 200* 200* 200* 91 89 66 Mean Statistic .891 914 877 85.33 87.40 60.33 Assumption of Normality The ANOVA requires that the assumption of normality be met. Normality was examined using Shapiro-Wilks. The assumption of normality was met. See Table 2 for Tests of Normality. Tests of Normality Psychologists Std. Deviation 4.457 Shapiro-Wilk df 6 5 6 1.517 4.227 Sig. 322 .492 256
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Thank you so much for all your help. So, based on this I should :

Say Levene's Assumption of Homogeneity of Variance is met at .07

And I should rejected the null hypothesis at the 95% confidence level where F(2,14) = 92.83, p = .07. Partial eta square equaled (h2part = .930). I should stte that the effect size was extremely large, and that  there was a statistical difference in job satisfaction among teachers (M = 85.33, SD 4.46), nurses (M = 87.40, SD = 1.52), and psychologists (M = 60.33, SD = 4.23). See Table 4 for Tests of Between-Subjects Effects.

Finally, because I rejected the null, a post hoc analysis was required. A Tukey test was performed to compare all possible pairs of group means among the three professions. Psychologists (M = 60.33, SD = 4.23) had a significantly lower job satisfaction than teachers (M = 85.33, SD 4.46), and nurses (M = 87.40, SD = 1.52). 

Thanks, once again for all your help!

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