please explain thoroughly the Test of Homogeneity of Variances and Why Post Hoc Tukey HSD is the appropriate model. thanks

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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please explain thoroughly the Test of Homogeneity of Variances and Why Post Hoc Tukey HSD is the appropriate model. thanks

Oneway
X18 - Delivery Speed
Less than 1 year
1 to 5 years
Over 5 years
Total
Test of Homogeneity of Variances
X18 - Delivery Speed
Levene Statistic
X18 - Delivery Speed
Between Groups
Within Groups
Total
Post Hoc
N Mean Std. Deviation Std. Error
323.172|
.6150 .1087
35 4.243
.5731
.0969
33 4.200
.4500 .0783
100 3.886
.7344
.0734|
.866
df1df2 Sig.
2 97 424
Games-
Howell
Dependent Variable:X18 - Delivery Speed
Sum of Squares df Mean Square F Sig.
24.030 2
12.015 39.681.000
.303
29.370 97
53.400 99
(1) X1 Customer
Type
Tukey HSD Less than 1 year
ANOVA
1 to 5 years
(J) X1 - Customer
Type
1 to 5 years
Over 5 years
Less than 1 year
Over 5 years
Less than 1 year
1 to 5 years
1 to 5 years
Over 5 years
Less than 1 year
Over 5 years
Less than 1 year
1 to 5 years
*. The mean difference is significant at the 0.05 level.
Homogeneous
Over 5 years
Less than 1 year
1 to 5 years
Descriptives
Over 5 years
95% Confidence Interval for Mean
Lower Bound
X18 - Delivery Speed
Multiple Comparisons
Subset for alpha = 0.05
1
2
3.172
2.950
4.046
4.040
3.740
Mean Difference
(I-J)
X1 - Customer Type N
Tukey HSDa Less than 1 year 32
Over 5 years
33
1 to 5 years
35
Sig.
1.000
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 33.287.
4.200
4.243
.946
Upper Bound Minimum Maximum
3.394
4.440
4.360
4.032
Std.
Error Sig.
.1346.000
.1365.000
-1.0710*
-1.0281*
1.0710
.0429
1346.000
1335.945
1.0281* .1365.000
-.0429 1335.945
-1.0710* .1456.000
-1.0281* 1340.000
1.0710* .1456.000
.0429 .1246.937
1.0281* .1340.000
-.0429 .1246.937
1.6
3.0
3.3
1.6
95% Confidence
Interval
Lower
Bound
-1.391
-1.353
.751
-.275
.703
-.361
-1.420
-1.351
4.4
5.5
4.9
5.5
.722
-.256
.706
-.342
Upper
Bound
-.751
-.703
1.391
.361
1.353
.275
-.722
-.706
1.420
.342
1.351
.256
Transcribed Image Text:Oneway X18 - Delivery Speed Less than 1 year 1 to 5 years Over 5 years Total Test of Homogeneity of Variances X18 - Delivery Speed Levene Statistic X18 - Delivery Speed Between Groups Within Groups Total Post Hoc N Mean Std. Deviation Std. Error 323.172| .6150 .1087 35 4.243 .5731 .0969 33 4.200 .4500 .0783 100 3.886 .7344 .0734| .866 df1df2 Sig. 2 97 424 Games- Howell Dependent Variable:X18 - Delivery Speed Sum of Squares df Mean Square F Sig. 24.030 2 12.015 39.681.000 .303 29.370 97 53.400 99 (1) X1 Customer Type Tukey HSD Less than 1 year ANOVA 1 to 5 years (J) X1 - Customer Type 1 to 5 years Over 5 years Less than 1 year Over 5 years Less than 1 year 1 to 5 years 1 to 5 years Over 5 years Less than 1 year Over 5 years Less than 1 year 1 to 5 years *. The mean difference is significant at the 0.05 level. Homogeneous Over 5 years Less than 1 year 1 to 5 years Descriptives Over 5 years 95% Confidence Interval for Mean Lower Bound X18 - Delivery Speed Multiple Comparisons Subset for alpha = 0.05 1 2 3.172 2.950 4.046 4.040 3.740 Mean Difference (I-J) X1 - Customer Type N Tukey HSDa Less than 1 year 32 Over 5 years 33 1 to 5 years 35 Sig. 1.000 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 33.287. 4.200 4.243 .946 Upper Bound Minimum Maximum 3.394 4.440 4.360 4.032 Std. Error Sig. .1346.000 .1365.000 -1.0710* -1.0281* 1.0710 .0429 1346.000 1335.945 1.0281* .1365.000 -.0429 1335.945 -1.0710* .1456.000 -1.0281* 1340.000 1.0710* .1456.000 .0429 .1246.937 1.0281* .1340.000 -.0429 .1246.937 1.6 3.0 3.3 1.6 95% Confidence Interval Lower Bound -1.391 -1.353 .751 -.275 .703 -.361 -1.420 -1.351 4.4 5.5 4.9 5.5 .722 -.256 .706 -.342 Upper Bound -.751 -.703 1.391 .361 1.353 .275 -.722 -.706 1.420 .342 1.351 .256
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