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Anova: Descriptives

The document contains the results of an ANOVA test comparing the mean scores of 5 packages (A, B, C, D, E). The ANOVA results show a significant difference between the packages (p=0.015). Post-hoc comparisons using the LSD test find the mean score of package C is significantly higher than packages A and B. The document also contains the results of an ANOVA comparing the mean strength scores of machines rated 1-6, which finds no significant differences between machines.

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Sumaira Binte Saleem
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480 views8 pages

Anova: Descriptives

The document contains the results of an ANOVA test comparing the mean scores of 5 packages (A, B, C, D, E). The ANOVA results show a significant difference between the packages (p=0.015). Post-hoc comparisons using the LSD test find the mean score of package C is significantly higher than packages A and B. The document also contains the results of an ANOVA comparing the mean strength scores of machines rated 1-6, which finds no significant differences between machines.

Uploaded by

Sumaira Binte Saleem
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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ANOVA

Q2
Descriptives
Packages
95% Confidence Interval for
Mean
N Mean Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum
A 8 30.0000 10.33717 3.65474 21.3579 38.6421 14.00 47.00
B 8 26.0000 9.42641 3.33274 18.1193 33.8807 12.00 41.00
C 8 42.0000 9.35032 3.30584 34.1829 49.8171 31.00 60.00
D 8 37.0000 9.28901 3.28416 29.2342 44.7658 23.00 53.00
E 8 33.0000 7.55929 2.67261 26.6803 39.3197 22.00 45.00
Total 40 33.6000 10.39181 1.64309 30.2765 36.9235 12.00 60.00

Test of Homogeneity of Variances


Packages
Levene Statistic df1 df2 Sig.
.167 4 35 .954

ANOVA
Packages

Sum of Squares df Mean Square F Sig.


Between Groups 1225.600 4 306.400 3.591 .015
Within Groups 2986.000 35 85.314
Total 4211.600 39

Multiple Comparisons
Packages
LSD

(I) (J) Mean Difference 95% Confidence Interval


Brands Brands (I-J) Std. Error Sig. Lower Bound Upper Bound
A B 4.00000 4.61829 .392 -5.3756 13.3756
C -12.00000​* 4.61829 .014 -21.3756 -2.6244
D -7.00000 4.61829 .139 -16.3756 2.3756
E -3.00000 4.61829 .520 -12.3756 6.3756
B A -4.00000 4.61829 .392 -13.3756 5.3756
*
C -16.00000​ 4.61829 .001 -25.3756 -6.6244
*
D -11.00000​ 4.61829 .023 -20.3756 -1.6244
E -7.00000 4.61829 .139 -16.3756 2.3756
*
C A 12.00000​ 4.61829 .014 2.6244 21.3756
*
B 16.00000​ 4.61829 .001 6.6244 25.3756
D 5.00000 4.61829 .286 -4.3756 14.3756
E 9.00000 4.61829 .059 -.3756 18.3756
D A 7.00000 4.61829 .139 -2.3756 16.3756
*
B 11.00000​ 4.61829 .023 1.6244 20.3756
C -5.00000 4.61829 .286 -14.3756 4.3756
E 4.00000 4.61829 .392 -5.3756 13.3756
E A 3.00000 4.61829 .520 -6.3756 12.3756
B 7.00000 4.61829 .139 -2.3756 16.3756
C -9.00000 4.61829 .059 -18.3756 .3756
D -4.00000 4.61829 .392 -13.3756 5.3756
*. The mean difference is significant at the 0.05 level.

Q3

Descriptives
Strength
95% Confidence Interval for
Mean
N Mean Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum
1.00 4 17.2000 1.16905 .58452 15.3398 19.0602 15.80 18.60
2.00 4 17.1750 1.64595 .82298 14.5559 19.7941 15.40 19.20
3.00 4 18.1750 1.94143 .97072 15.0857 21.2643 15.70 20.30
4.00 4 17.7500 2.68639 1.34319 13.4754 22.0246 14.60 20.80
5.00 4 18.4250 1.77647 .88823 15.5982 21.2518 16.50 20.50
6.00 4 18.0250 1.63172 .81586 15.4286 20.6214 16.20 20.10
Total 24 17.7917 1.71918 .35093 17.0657 18.5176 14.60 20.80
Test of Homogeneity of Variances
Strength
Levene Statistic df1 df2 Sig.
.891 5 18 .508

ANOVA
Strength

Sum of Squares df Mean Square F Sig.


Between Groups 5.338 5 1.068 .307 .902
Within Groups 62.640 18 3.480
Total 67.978 23

Multiple Comparisons
Strength
LSD

(I) (J) Mean Difference 95% Confidence Interval


Machine Machine (I-J) Std. Error Sig. Lower Bound Upper Bound
1.00 2.00 .02500 1.31909 .985 -2.7463 2.7963
3.00 -.97500 1.31909 .469 -3.7463 1.7963
4.00 -.55000 1.31909 .682 -3.3213 2.2213
5.00 -1.22500 1.31909 .365 -3.9963 1.5463
6.00 -.82500 1.31909 .540 -3.5963 1.9463
2.00 1.00 -.02500 1.31909 .985 -2.7963 2.7463
3.00 -1.00000 1.31909 .458 -3.7713 1.7713
4.00 -.57500 1.31909 .668 -3.3463 2.1963
5.00 -1.25000 1.31909 .356 -4.0213 1.5213
6.00 -.85000 1.31909 .527 -3.6213 1.9213
3.00 1.00 .97500 1.31909 .469 -1.7963 3.7463
2.00 1.00000 1.31909 .458 -1.7713 3.7713
4.00 .42500 1.31909 .751 -2.3463 3.1963
5.00 -.25000 1.31909 .852 -3.0213 2.5213
6.00 .15000 1.31909 .911 -2.6213 2.9213
4.00 1.00 .55000 1.31909 .682 -2.2213 3.3213
2.00 .57500 1.31909 .668 -2.1963 3.3463
3.00 -.42500 1.31909 .751 -3.1963 2.3463
5.00 -.67500 1.31909 .615 -3.4463 2.0963
6.00 -.27500 1.31909 .837 -3.0463 2.4963
5.00 1.00 1.22500 1.31909 .365 -1.5463 3.9963
2.00 1.25000 1.31909 .356 -1.5213 4.0213
3.00 .25000 1.31909 .852 -2.5213 3.0213
4.00 .67500 1.31909 .615 -2.0963 3.4463
6.00 .40000 1.31909 .765 -2.3713 3.1713
6.00 1.00 .82500 1.31909 .540 -1.9463 3.5963
2.00 .85000 1.31909 .527 -1.9213 3.6213
3.00 -.15000 1.31909 .911 -2.9213 2.6213
4.00 .27500 1.31909 .837 -2.4963 3.0463
5.00 -.40000 1.31909 .765 -3.1713 2.3713

Q4

Descriptives
Grades
95% Confidence Interval for
Mean
N Mean Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum
A 12 68.0833 18.54458 5.35336 56.3007 79.8660 36.00 93.00
B 15 71.4000 18.10998 4.67598 61.3710 81.4290 31.00 96.00
C 13 64.4615 20.36179 5.64734 52.1570 76.7660 15.00 91.00
Total 40 68.1500 18.73233 2.96184 62.1591 74.1409 15.00 96.00

Test of Homogeneity of Variances


Grades
Levene Statistic df1 df2 Sig.
.012 2 37 .988

ANOVA
Grades

Sum of Squares df Mean Square F Sig.


Between Groups 335.353 2 167.676 .465 .632
Within Groups 13349.747 37 360.804
Total 13685.100 39

Multiple Comparisons
Grades
LSD

(I) (J) Mean Difference 95% Confidence Interval


section section (I-J) Std. Error Sig. Lower Bound Upper Bound
A B -3.31667 7.35667 .655 -18.2227 11.5894
C 3.62179 7.60402 .637 -11.7854 19.0290
B A 3.31667 7.35667 .655 -11.5894 18.2227
C 6.93846 7.19776 .341 -7.6456 21.5225
C A -3.62179 7.60402 .637 -19.0290 11.7854
B -6.93846 7.19776 .341 -21.5225 7.6456

Q5

Descriptives
Growth
95% Confidence Interval for
Mean
N Mean Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum
1.00 4 8.8750 .53774 .26887 8.0193 9.7307 8.20 9.40
2.00 5 8.1600 .35071 .15684 7.7245 8.5955 7.70 8.60
3.00 6 6.7000 .62610 .25560 6.0429 7.3571 5.80 7.40
4.00 5 6.8800 .37683 .16852 6.4121 7.3479 6.30 7.30
Total 20 7.5450 1.00916 .22565 7.0727 8.0173 5.80 9.40

Test of Homogeneity of Variances


Growth
Levene Statistic df1 df2 Sig.
1.226 3 16 .333

ANOVA
Growth
Sum of Squares df Mean Square F Sig.
Between Groups 15.462 3 5.154 21.213 .000
Within Groups 3.888 16 .243
Total 19.350 19

Multiple Comparisons
Growth
LSD
(I) (J) 95% Confidence Interval
Chemic Chemic Mean Difference
al al (I-J) Std. Error Sig. Lower Bound Upper Bound
1.00 2.00 .71500​* .33066 .046 .0140 1.4160
*
3.00 2.17500​ .31818 .000 1.5005 2.8495
*
4.00 1.99500​ .33066 .000 1.2940 2.6960
2.00 1.00 -.71500​* .33066 .046 -1.4160 -.0140
*
3.00 1.46000​ .29848 .000 .8273 2.0927
*
4.00 1.28000​ .31175 .001 .6191 1.9409
3.00 1.00 -2.17500​* .31818 .000 -2.8495 -1.5005
*
2.00 -1.46000​ .29848 .000 -2.0927 -.8273
4.00 -.18000 .29848 .555 -.8127 .4527
4.00 1.00 -1.99500​* .33066 .000 -2.6960 -1.2940
*
2.00 -1.28000​ .31175 .001 -1.9409 -.6191
3.00 .18000 .29848 .555 -.4527 .8127
*. The mean difference is significant at the 0.05 level.

Q7

Descriptives
Result
95% Confidence Interval for
Mean
N Mean Std. Deviation Std. Error Lower Bound Upper Bound Minimum Maximum
A 5 59.6600 1.40819 .62976 57.9115 61.4085 58.20 61.40
B 5 61.9600 2.16056 .96623 59.2773 64.6427 59.20 64.50
C 5 56.5200 1.16276 .52000 55.0762 57.9638 55.20 58.10
D 5 61.1200 .76942 .34409 60.1646 62.0754 60.30 62.30
Total 20 59.8150 2.51632 .56267 58.6373 60.9927 55.20 64.50

Test of Homogeneity of Variances


Result
Levene Statistic df1 df2 Sig.
3.614 3 16 .036

ANOVA

Sum of Squares df Mean Square F Sig.


Between Groups 85.925 3 28.642 13.330 .000
Within Groups 34.380 16 2.149
Total 120.305 19

Multiple Comparisons
Result
Tamhane

Mean Difference 95% Confidence Interval


(I) Lab (J) Lab (I-J) Std. Error Sig. Lower Bound Upper Bound
A B -2.30000 1.15334 .421 -6.5011 1.9011
*
C 3.14000​ .81670 .031 .2796 6.0004
D -1.46000 .71764 .419 -4.1826 1.2626
B A 2.30000 1.15334 .421 -1.9011 6.5011
*
C 5.44000​ 1.09727 .014 1.2617 9.6183
D .84000 1.02567 .972 -3.4656 5.1456
*
C A -3.14000​ .81670 .031 -6.0004 -.2796
*
B -5.44000​ 1.09727 .014 -9.6183 -1.2617
*
D -4.60000​ .62354 .001 -6.8641 -2.3359
D A 1.46000 .71764 .419 -1.2626 4.1826
B -.84000 1.02567 .972 -5.1456 3.4656
C 4.60000​* .62354 .001 2.3359 6.8641
*. The mean difference is significant at the 0.05 level.

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