McNemar test We want to know if an automated artificial pancreas, which controls

Question

McNemar test We want to know if an automated artificial pancreas, which controls blood glucose and provides insulin continuously, compared to a standard control system in patients with type 1 diabetes, provides better results in the control of blood glucose. The two control systems are used in a group of patients (with and without the artificial pancreas). On two different nights each of these methods is tested in all patients. The response variable is if at any time they have suffered hypoglycemia during the night. The variable is, therefore, dichotomous: to have a hypoglycaemia or not. The following results are obtained: With artificial pancreas No hypoglycemia Yes hypoglycemia Without artificial pancreas No hypoglycemia Yes hypoglycemia 20 Would you recommend the use of the artificial pancreas or not? Conduct the test and explain.

Explanation / Answer

H0: You not recommend the use of the artificail pancreas

H1: You recommend the use of the artificail pancreas

Let the los be alpha = 5%

The observed frequencies are

The expected frequencies are

The chisquare contribution values are

Degrees of freedom: 1

Test Statistic, X^2: 0.4286
Critical X^2: 3.841456
P-Value: 0.5127

Here chisquare value < chisquare critical value and P-value > alpha 0.05 so we accept H0

Thus we conclude that You not recommend the use of the artificail pancreas

No Hypgiycemia Yes Hypegiycemia Total No Hypgiycemia 20 7 27 Yes Hypegiycemia 22 5 27 Total 42 12 54

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