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Popularity 2
Investigate whether there is a gender difference in the perceived importance of good grades. Cotton Plants
Determine whether variety of cotton is related to the distance between planting rows. |
Popularity 2: Problem |
M.A. Chase and G.M. Dummer conducted a study in 1992 to determine what traits children regarded as important to popularity. Demographic information was recorded, as well as the rating given to four traits assessing their importance to popularity: Grades, Sports, Looks, and Money. The rating scale was from 1 to 4, with 1 being the most important of the four options, 4 being the least.
Determine whether there is a difference based on gender, on the importance given to making good grades by carrying out the Mantel-Haenszel chi-square test with a significance level of alpha=0.10.
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Lee Creighton (modified by Paris Faison)
SAS Institute
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Popularity 2: Sample Data | |
The Childrens_popularity data contains demographic information and ratings given to four traits assessing their importance to popularity – grades, sports, looks, and money – for students in grades 4 through 6. These are the variables in the data set: Name | Type | Description | | Gender | char | gender of student (boy or girl) | | Grade | num | grade level of student | | Age | num | age in years | | Race | char | race (white or other) | | Urban_Rural | char | type of residence area (rural, suburban, urban) | | School | char | school student attends | | Goals | char | area student strives for (grades, sports, popular) | | Grades | num | rating on importance of grades (1=most important, 2, 3, 4=least important) | | Sports | num | rating on importance of sports (1=most important, 2, 3, 4=least important) | | Looks | num | rating on importance of looks (1=most important, 2, 3, 4=least important) | | Money | num | rating on importance of money (1=most important, 2, 3, 4=least important) | |
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Source of Data
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Sall, J., Creighton, L., & Lehman, A. (2006). JMP Start Statistics, Third Edition. Cary, NC: SAS Institute Inc. |
Popularity 2: Solution |
From the FREQ procedure in SAS we find that the value of the Mantel-Haenszel chi-square statistic is 0.4491, with a corresponding p-value of 0.5028, which is not significant at the α = 0.10 level. So, we can conclude that there is not enough evidence to suggest that there is a difference based on gender, given to the importance of making good grades.
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Cotton Plants: Problem |
A student in the Department of Crop Science at NC State University was interested in investigating the relationship between cotton varieties and the distance between planting rows for various cotton varieties. She used data from a concurrent experiment which included two levels of variety and two levels of spacing. Use the Mantel-Haenszel chi-square test to test the null hypothesis of no relationship between variety and spacing. Give the chi-square test statistic and the p-value for the test. |
SAS Institute Inc.
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Cotton Plants: Sample Data | |
The Cotton data set contains data about various characteristics of cotton plants. These are the variables in the data set: Name | Type | Description | | variety | num | cotton variety (37, 213) | | spacing | num | distance between planting rows) | | plant | num | plant | | bollwt | num | total weight of cotton bolls | | lint | num | weight of usable lint | |
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Source of Data
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This data is sample data from SAS Institute Inc. |
Cotton Plants: Solution |
The value of the Mantel-Haenszel chi-square statistic is 0.0376, with a p-value of 0.8462, which can be considered to be highly insignificant. Hence, we fail to reject the null hypothesis that there is no relationship between variety of cotton and distance between planting rows. |
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