Question

We want to assess whether there is a statistically significant association between two variables. Below are pairs of variables, along with their method of measurement. Indicate, justifying it in two lines, for each pair, which statistical test you would use.

a) Total Cholesterol (mmol/l) and Sex (Male/Female).

b) Red blood cells (millions/microlitre of blood) and Body Mass Index (kg/m2).

c) Foot Pain (Severe/Levere) and Obesity (Yes/No).

d) Marital status (Single/Married/Divorced) and Educational level (Primary/Secondary/University studies).

e) Type 2 diabetes (Yes/No) and Amount of fat consumed per week (g/week).

We want to assess whether there is a statistically significant association between two variables. Below are pairs of variables, along with their method of measurement. Indicate, justifying it in two lines, for each pair, which statistical test you would use.

a) Total Cholesterol (mmol/l) and Sex (Male/Female).

b) Red blood cells (millions/microlitre of blood) and Body Mass Index (kg/m2).

c) Foot Pain (Severe/Levere) and Obesity (Yes/No).

d) Marital status (Single/Married/Divorced) and Educational level (Primary/Secondary/University studies).

e) Type 2 diabetes (Yes/No) and Amount of fat consumed per week (g/week).

Answer 1

Answer A:

As we have one categorical variable and other one is the quantitative variable so we can choose two way, first one is paired test where we can have the value of the total cholesterol.

we will determine the cholesterol level for both the male and female. And based on the mean and standard deviation of both the group , we cna use the p-value at different confidence level based on the difference in the mean value.

Paired t test can be used.

Answer B:

As we have both the variable is quantitiave variables so we should use the regression so that we can estimate the red blood cells if we have known bodu mass index.

So any type of regression, we should use and compare the F value and p-value of the each variable and based on that we can determine that whether it is significant test or not.

Answer C:

Here we have both the variables are categorical and for the chi square is the best tool.

Calcuate the frequency of combination of:

Foot pain and obesity

Foot pain and no obesity

No Foot pain and obesity

No foot pain and no obesity

We can calculate frequency of all the four combination and find the expected value and based on that we can calculate the chi square value and compare the critcal chi square value based on the degree of freedom.
So if we have two categorical variable, we should use the chi square test and identify the significance based on critical chi square vaues

Answer D:

Here we have both the variables are categorical and for the chi square is the best tool

Single and Primary

Married and Primary

Divorce and Primary

Single and Secondary

Married and Secondary

Divorce and Secondary

Single and University

Married and University

Divorce and University

We can calculate frequency of all the nine combination and find the expected value and based on that we can calculate the chi square value and compare the critcal chi square value based on the degree of freedom.
So if we have two categorical variable, we should use the chi square test and identify the significance based on critical chi square vaues

Answer E:

As we have one categorical variable and other one is the quantitative variable so we can choose two way, first one is paired test where we can have the value of the total amount of fat consumed per week.

we will determine the total amount of fat consumed per week level for both the Type 2 diabetes or no Type 2 diabetese And based on the mean and standard deviation of both the group , we can use the p-value at different confidence level based on the difference in the mean value.

Paired t test can be used.