The Journal of Business Venturing reported on the activities of entrepreneurs du

Question

The Journal of Business Venturing reported on the activities of entrepreneurs during the organization creation process. As part of a designed study, a total of 71 entrepreneurs were interviewed and divided into 3 groups: those that were successful in founding a new firm (n1 = 34), those still actively trying to establish a firm (n2 = 21), and those who tried to start a new firm but eventually gave up (n3 = 16). The total number of activities undertaken (e.g., developed a business plan, sought funding, looked for facilities) by each group over a specified time period during organization creation was measured. The objective is to compare the mean number of activities of the 3 groups of entrepreneurs. Because of concerns over necessary assumption of the parametric analysis, it was decided to use a nonparametric analysis. Identify the nonparametric method that would be used to analyze the data. a. Wilcoxon Rank Sums Test b. Wilcoxon Signed Rank Test c. Kruskal-Wallis Rank Test for Differences in Medians d. One-way ANOVA F test The Journal of Business Venturing reported on the activities of entrepreneurs during the organization creation process. As part of a designed study, a total of 71 entrepreneurs were interviewed and divided into 3 groups: those that were successful in founding a new firm (n1 = 34), those still actively trying to establish a firm (n2 = 21), and those who tried to start a new firm but eventually gave up (n3 = 16). The total number of activities undertaken (e.g., developed a business plan, sought funding, looked for facilities) by each group over a specified time period during organization creation was measured. The objective is to compare the mean number of activities of the 3 groups of entrepreneurs. Because of concerns over necessary assumption of the parametric analysis, it was decided to use a nonparametric analysis. Identify the nonparametric method that would be used to analyze the data. a. Wilcoxon Rank Sums Test b. Wilcoxon Signed Rank Test c. Kruskal-Wallis Rank Test for Differences in Medians d. One-way ANOVA F test The Journal of Business Venturing reported on the activities of entrepreneurs during the organization creation process. As part of a designed study, a total of 71 entrepreneurs were interviewed and divided into 3 groups: those that were successful in founding a new firm (n1 = 34), those still actively trying to establish a firm (n2 = 21), and those who tried to start a new firm but eventually gave up (n3 = 16). The total number of activities undertaken (e.g., developed a business plan, sought funding, looked for facilities) by each group over a specified time period during organization creation was measured. The objective is to compare the mean number of activities of the 3 groups of entrepreneurs. Because of concerns over necessary assumption of the parametric analysis, it was decided to use a nonparametric analysis. Identify the nonparametric method that would be used to analyze the data. a. Wilcoxon Rank Sums Test b. Wilcoxon Signed Rank Test c. Kruskal-Wallis Rank Test for Differences in Medians d. One-way ANOVA F test

Explanation / Answer

It is the Kruskal-Wallis Rank Test which provides a good proxy for one-way ANOVA in the case of non-parametric analysis. The null hypothesis, in this case, is that the population median of all of the groups is equal. One way ANOVA can only be used if there is a) homoscedasticity and b) normality for the sample observations. Wilcoxon's test, on the other hand, can handle two sample only so it cannot serve the purpose of ANOVA.

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