Question
Using the poverty data set determine if there is a difference in infant mortality between the six regions of the world. Assume the distribution is
Using the poverty data set determine if there is a difference in infant mortality between the six regions of the world. Assume the distribution is normal. I have answered the question but first I want to make sure it is correct second, there is missing parts that I did not know how to answer can you answer them for me the Fisher LSD differences, Tukey HSD differences and interpretation part
here is the data link:
https://1drv.ms/x/s!AhyxeLhOUYWegl6RZs51Ej0EzxOW
ANOVA | |||||
Infant Mortality | |||||
Sum of Squares | df | Mean Square | F | Sig. | |
Between Groups | 115489.814 | 5 | 23097.963 | 24.000 | .000 |
Within Groups | 87580.696 | 91 | 962.425 | ||
Total | 203070.510 | 96 |
Multiple Comparisons | |||||||
Dependent Variable: Infant Mortality | |||||||
(I) Region | (J) Region | Mean Difference (I-J) | Std. Error | Sig. | 95% Confidence Interval | ||
Lower Bound | Upper Bound | ||||||
Tukey HSD | 1 | 2 | -33.9523 | 12.9497 | .102 | -71.653 | 3.749 |
3 | 9.5148 | 11.7536 | .965 | -24.704 | 43.734 | ||
4 | -30.2091 | 13.2282 | .211 | -68.721 | 8.303 | ||
5 | -50.3508* | 12.0044 | .001 | -85.300 | -15.402 | ||
6 | -82.4199* | 11.0968 | .000 | -114.726 | -50.113 | ||
2 | 1 | 33.9523 | 12.9497 | .102 | -3.749 | 71.653 | |
3 | 43.4671* | 11.4392 | .003 | 10.164 | 76.771 | ||
4 | 3.7432 | 12.9497 | 1.000 | -33.958 | 41.444 | ||
5 | -16.3985 | 11.6968 | .726 | -50.452 | 17.655 | ||
6 | -48.4676* | 10.7632 | .000 | -79.803 | -17.132 | ||
3 | 1 | -9.5148 | 11.7536 | .965 | -43.734 | 24.704 | |
2 | -43.4671* | 11.4392 | .003 | -76.771 | -10.164 | ||
4 | -39.7239* | 11.7536 | .013 | -73.943 | -5.505 | ||
5 | -59.8656* | 10.3570 | .000 | -90.018 | -29.713 | ||
6 | -91.9347* | 9.2897 | .000 | -118.980 | -64.889 | ||
4 | 1 | 30.2091 | 13.2282 | .211 | -8.303 | 68.721 | |
2 | -3.7432 | 12.9497 | 1.000 | -41.444 | 33.958 | ||
3 | 39.7239* | 11.7536 | .013 | 5.505 | 73.943 | ||
5 | -20.1417 | 12.0044 | .550 | -55.091 | 14.807 | ||
6 | -52.2108* | 11.0968 | .000 | -84.517 | -19.904 | ||
5 | 1 | 50.3508* | 12.0044 | .001 | 15.402 | 85.300 | |
2 | 16.3985 | 11.6968 | .726 | -17.655 | 50.452 | ||
3 | 59.8656* | 10.3570 | .000 | 29.713 | 90.018 | ||
4 | 20.1417 | 12.0044 | .550 | -14.807 | 55.091 | ||
6 | -32.0691* | 9.6051 | .015 | -60.033 | -4.105 | ||
6 | 1 | 82.4199* | 11.0968 | .000 | 50.113 | 114.726 | |
2 | 48.4676* | 10.7632 | .000 | 17.132 | 79.803 | ||
3 | 91.9347* | 9.2897 | .000 | 64.889 | 118.980 | ||
4 | 52.2108* | 11.0968 | .000 | 19.904 | 84.517 | ||
5 | 32.0691* | 9.6051 | .015 | 4.105 | 60.033 | ||
LSD | 1 | 2 | -33.9523* | 12.9497 | .010 | -59.675 | -8.229 |
3 | 9.5148 | 11.7536 | .420 | -13.832 | 32.862 | ||
4 | -30.2091* | 13.2282 | .025 | -56.485 | -3.933 | ||
5 | -50.3508* | 12.0044 | .000 | -74.196 | -26.505 | ||
6 | -82.4199* | 11.0968 | .000 | -104.462 | -60.377 | ||
2 | 1 | 33.9523* | 12.9497 | .010 | 8.229 | 59.675 | |
3 | 43.4671* | 11.4392 | .000 | 20.744 | 66.190 | ||
4 | 3.7432 | 12.9497 | .773 | -21.980 | 29.466 | ||
5 | -16.3985 | 11.6968 | .164 | -39.633 | 6.836 | ||
6 | -48.4676* | 10.7632 | .000 | -69.847 | -27.088 | ||
3 | 1 | -9.5148 | 11.7536 | .420 | -32.862 | 13.832 | |
2 | -43.4671* | 11.4392 | .000 | -66.190 | -20.744 | ||
4 | -39.7239* | 11.7536 | .001 | -63.071 | -16.377 | ||
5 | -59.8656* | 10.3570 | .000 | -80.439 | -39.293 | ||
6 | -91.9347* | 9.2897 | .000 | -110.388 | -73.482 | ||
4 | 1 | 30.2091* | 13.2282 | .025 | 3.933 | 56.485 | |
2 | -3.7432 | 12.9497 | .773 | -29.466 | 21.980 | ||
3 | 39.7239* | 11.7536 | .001 | 16.377 | 63.071 | ||
5 | -20.1417 | 12.0044 | .097 | -43.987 | 3.704 | ||
6 | -52.2108* | 11.0968 | .000 | -74.253 | -30.168 | ||
5 | 1 | 50.3508* | 12.0044 | .000 | 26.505 | 74.196 | |
2 | 16.3985 | 11.6968 | .164 | -6.836 | 39.633 | ||
3 | 59.8656* | 10.3570 | .000 | 39.293 | 80.439 | ||
4 | 20.1417 | 12.0044 | .097 | -3.704 | 43.987 | ||
6 | -32.0691* | 9.6051 | .001 | -51.148 | -12.990 | ||
6 | 1 | 82.4199* | 11.0968 | .000 | 60.377 | 104.462 | |
2 | 48.4676* | 10.7632 | .000 | 27.088 | 69.847 | ||
3 | 91.9347* | 9.2897 | .000 | 73.482 | 110.388 | ||
4 | 52.2108* | 11.0968 | .000 | 30.168 | 74.253 | ||
5 | 32.0691* | 9.6051 | .001 | 12.990 | 51.148 | ||
*. The mean difference is significant at the 0.05 level. |
hypotheses | H0: 1 = 2= 3 = 4 Ha: not all are equal |
0.05 | |
TS | 24.00 |
p | <0.001 |
conclusion | reject the null hypothesis and conclude that there is a statistically significant difference in the mean infant mortality rates across the six regions |
Fisher LSD differences | |
Tukey HSD differences | |
interpretation |
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