Interpret the results of a logistic regression analysis of the relationship betw

Question

Interpret the results of a logistic regression analysis of the relationship between gun control opinions and party identification. The binary dependent variable is coded 1 for pro-control opinions and 0 for anti-control opinions. The independent variable, party identification, is a 7-point scale, ranging from 0 (strong Republicans) to 6 (strong Democrats)

A. The logistic regression coefficient tells us that, for each one-unit increase in the party identification scale, the logged odds of a pro-control opinion increases by .506. Turn your attention to the odds ratio, Exp(b). Recall that higher values of party identification are more Democratic and lower values are less Democratic. This coefficient says that an individual at one value of party identification is ______________ times as likely to be pro-control as an individual at the next-lower value of party identification.

B. Use the value of Exp(b) to compute a percentage change in the odds. According to your calculations, each unit increase in party identification, from less Democratic to more Democratic, increases the odds of being pro-control by how much?

C. (i) State the null hypothesis for this relationship. (ii) What is your inferential decision—reject the null hypothesis or do not reject the null hypothesis? (iii) Explain your answer.

Variable Party identification Intercept Model summary: Chi-square McFadden R-square Cox-Snell R-square Nagelkerke R-square Coefficient estimate Standard error zSignificance Exp(b) .506 027 18.61 1.659 -1.655 673.57 .133 226

Explanation / Answer

Result:

A. The logistic regression coefficient tells us that, for each one-unit increase in the party identification scale, the logged odds of a pro-control opinion increases by .506. Turn your attention to the odds ratio, Exp(b). Recall that higher values of party identification are more Democratic and lower values are less Democratic. This coefficient says that an individual at one value of party identification is 1.659 times as likely to be pro-control as an individual at the next-lower value of party identification.

B. Use the value of Exp(b) to compute a percentage change in the odds. According to your calculations, each unit increase in party identification, from less Democratic to more Democratic, 65.9% increases the odds of being pro-control by how much?

C. (i) State the null hypothesis for this relationship. (ii) What is your inferential decision—reject the null hypothesis or do not reject the null hypothesis? (iii) Explain your answer.

H0: there is no relationship between party identification and pro-control opinion.

H1: there is relationship between party identification and pro-control opinion.

Calculated z=18.61, P< 0.05 shows that Ho is rejected.

There is significant relationship between party identification and pro-control opinion.

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