ANOVA is used to test if the difference of availability of sanitation between ur
ID: 3257997 • Letter: A
Question
ANOVA is used to test if the difference of availability of sanitation between urban and rural areas in 2005 are different across regions of the world.1) is the availability of sanitation different across regions of the world ? a) What type of test was used in SAS to test for differences in water and sanitation availability ?
b) What is the value of this statistic ?
C) What is the p-value?
2) is the difference in availability of sanitation between urban and rural areas different across regions of the world ? a) What is the statistic used in SAS to test if urban rural differences across regions ?
b) What is the p-value?
c) What proportion of the variance in sanitation availability is explained by ANOVA model?
Outlook Question 2-Test equality of urban and rural availablility of sanitation across world regions ANOVA The GLM Procedure Class Level Information Class Levels Values Urb Rur 2 Rural Urban Region 6 AFRO EMRO EURO PAHO SEAR WPRO Number of observations Read 377 Number of Observations Used 362
Explanation / Answer
1) As the value in Pr>F is less than 0.0001 for Source "Region" and 0.0001 is less than significance leve of 0.05, we reject the null hypothesis and conclude that the availability of sanitation is different across regions of the world.
a) Hypothesis testing using GLM procedure was used in SAS to test for the differences.
b) The value of the statistic is 84.38
c) p-value is < 0.0001
2 As the value in Pr>F is 0.1428 for Source "Urb_Rur*Region" and 0.1428 is greater than than significance leve of 0.05, we accept the null hypothesis and conclude that the availability of sanitation between urban and rural areas is same across regions of the world.
a) F statistic = 1.66
b) p-value = 0.1428
c) proportion of variance in sanitation availability explained by ANOVA model is R-square value = 0.573826
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