Question 1

Logistic regression uses the log-likelihood statistic to evaluate the fit of a model, based on the predicted and observed values, and is closely related to the deviance, but how is deviance expressed?

Accepted Answer

A)  Deviance = -2 × log-likelihood 
B)  Deviance = -2 / log-likelihood 
C)  Deviance = log-likelihood / (-2) 
D)  Deviance = log-likelihood / ((-2) × (-2))

Question 2

What type of distribution does deviance follow?

Accepted Answer

A)  Chi-square distribution 
B)  t-distribution 
C)  F-distribution 
D)  z-distribution

Question 3

Which of the following is the most appropriate example of logistic regression?

Accepted Answer

A)  The use of stature, aerobic capacity, muscular strength and previous sports played to predict whether an individual should enter an elite rowing or weightlifting training programme. 
B)  The use of aerobic capacity to predict marathon race time. 
C)  The use of aerobic capacity to predict whether an individual should develop muscular strength and endurance. 
D)  The use of stature, aerobic capacity, muscular strength and previous sports played to predict aerobic capacity.

Question 4

What range is used when evaluating the predictive ability of an independent (X) variable (e.g. numbers of passes in field hockey) and the outcome (Y) variable (e.g. outcome of the game - win, draw or lose)?

Accepted Answer

A)  1 to 100 
B)  0 to 100 
C)  0 to 1 
D)  -1 to +1

Question 5

Which of the following is a categorical variable?

Accepted Answer

A)  Player motivation (Likert scale between 1 and 10) 
B)  Outcome of a match (win, draw or lose) 
C)  Shots on target during a football match 
D)  Complete passes during a football match

Exam 20: Categorical Outcomes: Logistic Regression

Logistic regression uses the log-likelihood statistic to evaluate the fit of a model, based on the predicted and observed values, and is closely related to the deviance, but how is deviance expressed?

What type of distribution does deviance follow?

Which of the following is the most appropriate example of logistic regression?

What range is used when evaluating the predictive ability of an independent (X) variable (e.g. numbers of passes in field hockey) and the outcome (Y) variable (e.g. outcome of the game - win, draw or lose) ?

Which of the following is a categorical variable?