Relationship between gender (male or female) and recycling activity (practice or not practice) can be quantified using (select all applied): Group of answer choices Cramerās V. Pearsonās r. phi (Ļ). Spearmanās rho (Ļ).
Added by Luis Miguel W.
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In this case, gender (male or female) is a categorical variable with two categories, and recycling activity (practice or not practice) is also a categorical variable with two categories. Show moreā¦
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1. Which of the following measures is not used as a measure of association for nominal, nonparametric variables? a. chi-square b. phi c. Cramer's V d. Contingency coefficient C e. Z score 2. The question of "How strongly are sales related to price when the effect of brand loyalty is controlled?" is best answered using _____. a. regression analysis b. partial correlation c. ANOVA d. product-moment correlation e. gamma 3. Which ordinal measure is a refinement of gamma for ordinal data that considers "tied" pairs? a. tb b. Y c. Ć d. Ī» e. Ī² 4. For a given sample size, how many pairs of observations will be present? a. n(n-1)/2 b. n/2 c. (n-2)(2+n) d. (P-Q)(P+Q) e. None are correct 5. What type of measure is Spearman's rho? a. chi-square statistic b. correlation coefficient c. measure of variance d. measure of error e. measure of skewness
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Effect size for the chi-square test for independence Which of the following statements are correct about the phi-coefficient? Check all that apply. It is a measure of correlation between a dichotomous variable and a continuous variable. It is a measure of correlation between two dichotomous variables. It can be used as a measure of effect size. It can be used as a measure of the significance of a relationship between two dichotomous variables. Suppose you are looking at the relationship between gender and color preference. You wonder if there is a difference between the preferences of males and females for yellow and purple. You conduct a quick survey asking different people which color they prefer. The results are shown in the 2 x 2 data matrix below: Observed Frequencies Color Preference Yellow Purple Female 89 19 Male 28 64 The ĻĀ² test statistic for the chi-square test for independence is 55.27. The phi-coefficient is ____. According to Cohenās guidelines, the value for the phi-coefficient indicates ____________ effect. Suppose you ask the same question of three times as many people, but the proportions remain the same. The new results are shown in the 2 x 2 data matrix below: Observed Frequencies Color Preference Yellow Purple Female 267 57 Male 84 192 The ĻĀ² test statistic for the chi-square test of independence would now be 165.81, and the phi-coefficient would be ___________. Thus, when we change the sample size without changing the proportions, the ___________ does not change, but the _________________ does. Now, suppose you conduct a slightly different study. Instead of looking at the difference between the preferences of males and females for two colors, you classify your 175 respondents into four categories: male child, female child, male adult, and female adult. You also decide to look at differences in preferences for four (4) colors: black, white, red, and blue. The ĻĀ² test statistic for the chi-square test of independence is 17.99, and Cramerās V would be _______________ According to Cohenās guidelines, the value for the Cramerās V indicates _________ effect.
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Suppose that a researcher had a 3 by 2 table and the column variable had values of low, medium, and high. Suppose that the researcher computed various measures of association for the table. Now, suppose that the researcher changes the order of the columns to low, hi, and medium. Which measures of association would you expect to change value? a. Gamma (Ī³) b. Contingency Coefficient (C) c. Phi Coefficient (Ļ) d. Cramer's V
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