Question

Once horse was selected at random from each of 80 races and categorized according to post position (the position assigned to the horse for the start of the race) and the position in which the horse crossed the finish line (first, second, etc. ).

Finish

1 2 3 Other

Post 1-4 8 6 8 16

  Position 5-9 3 6 5 28

Is the horse’s position at the end of the race dependent on post position?

Which test should be used?

Answer 1

Solution:

In this case, we can opt for a simple Regression Analysis.

Regression Analysis is a statistical procedure that helps to analyse the relationship between two or more variables of our interest. Here, you can find a simple regression equation and then analyse the value of R². if the value of R² is close to 1, then it means that maximum variations in the dependent variable is explained by the regression equation.

For your data, the regression output is shown below:

Here, Post is taken as the independent variable and the Position as dependent variable...

The Regression output is:

Here, the value of R squared is 0.701 that means 70.1% of the variations in the dependent variable is explained by the regression equation which is a good fit as the value (0.701) is close to 1. Hence we can say that the variables are dependent.

The regression equation is:

Position = 1.87 * Post - 5.51

End...