Matching on one variable only

 

Sex    Place all the IDs for Men together. There are 27 men. Randomly select half of the men to the control group and the other half to the experimental group. There will be 13 men in each group. One man will not be selected for either group.

          Place all the IDs for Women together. There are 23 women. 11 women will be randomly selected to be in the control group, and 11 women will be selected to be in the experimental group. One women will not be placed in either group.

 

Age    Place all the IDs for those 65+ together. There are 10 individuals in this age category. Randomly select 5 for the experimental and control groups.

          Place all the IDs for those under 65 together. There are 40 individuals in this age category. Randomly select 20 for the experimental and 20 for the control group.

 

Location          Place all the IDs for those who live in cities together. There are 28 individuals who live in cities. Randomly select 14 for the control group and 14 for the experimental group.

          Place all the IDs for those who live in towns together. There are 11 individuals in this category. Randomly select 5 for the control group and 5 for the experimental group. One individual will not be selected for either group.

          Place all the IDs for those who live in rural areas together. . There are 11 individuals in this category. Randomly select 5 for the control group and 5 for the experimental group. One individual will not be selected for either group.

 

Exercise 1

Create matched samples for the variable location.

Use systematic sampling in each category to assign individuals to the control and experimental groups.


Matching on two variables

Age and Sex

There will be 4 combinations of age and sex:

            Female            Under 65

            Male            Under 65

            Female            65+

            Male            65+

 

Make a list of all IDs for the first category (females under 65). There are 20 such individuals. Randomly place ten individuals in the experimental and ten in the control group.

 

Make a list of all IDs for the second category (males under 65). There are 20 such individuals. Randomly place ten individuals in the experimental and ten in the control group.

 

Make a list of all IDs for the third category (females 65+). There are 3 such individuals. Randomly place one individual in the experimental and one in the control group. One individual will not be selected for either group.

 

Make a list of all IDs for the fourth category (males 65+). There are 7 such individuals. Randomly place 3 individuals in the experimental and 3 in the control group. One individual will not be selected for either group.

 

Sex and Location

There will be 6 combinations of sex and location:

            Female            City

            Female            Town

            Female            Rural

            Male            City

            Male            Town

            Male            Rural

 

Make a list of all IDs for the first category (females, city). There are 15 such individuals. Randomly place 7 individuals in the experimental and 7 in the control group. One individual will not be selected for either group.

 

Make a list of all IDs for the second category (females, town). There are 5 such individuals. Randomly place 2 individuals in the experimental and 2 in the control group. One individual will not be selected for either group.

 

Make a list of all IDs for the third category (females, rural). There are 3 such individuals. Randomly place one individual in the experimental and one in the control group. One individual will not be selected for either group.

 

Do the same for males

Males, city            13

Males, town            6

Males, rural            8

 

In total 4 individuals from our sample will not be matched.


Matching on three variables

 

Sex and Age and Location

There will be 12 combinations of sex, age and location:

 

 

Females

Males

 

Under 65

65+

Under 65

65+

City

 

 

 

 

Town

 

 

 

 

Rural

 

 

 

 

 

 

 

 

Females

Males

 

Under 65

65+

Under 65

65+

City

13

2

8

5

Town

2

1

7

1

Rural

5

0

5

1

 

Some of the categories have odd numbers, so not all of the individuals will be matched.

 

 

Females

Males

 

Under 65

65+

Under 65

65+

City

12

2

8

4

Town

2

0

6

0

Rural

4

0

4

0

 

Eight individuals will have no match, and so will not be included in either the experimental or control group.

 

Exercise 2

Create matched samples for all three variables.

Use systematic sampling in each category to assign individuals to the control and experimental groups.