WEEK 2
Descriptive Statistics
This
allow one to summarise data (which is huge amount of numbers essentially), grasp
the essential features of data quickly and easily. It often in image form, mean,
median, mode, SDs, histograms, e.t.c. Descriptive statistics contains the
following procedures:
- Descriptive procedure
- Frequencies procedure
- Explore procedure
- Cross-tabs procedure
- Ratio procedure
- P-P plots procedure
- Q-Q plots procedure
But in
this module we would focus on the first two procedures namely:
1.1 The
Descriptive Procedure
With Descriptive you can quickly generate
summary statistical measures such as mean, standard deviation, variance,
maximum and minimum values, range and sum for a
given variable.
1.2
Frequencies Procedure
With the
Frequencies procedure you can also generate summary statistical measures for a
given variable. Frequencies gives
frequency distributions for all types of data (nominal, ordinal and interval).
SAMPLE QUESTION ONE
Given the
following data:
Respondent’s
ID number
|
Province
|
Gender
|
Ethnicity
|
Age
|
Religion
|
Mother’s Education
|
1
|
Alberta
|
Male
|
Caucasian
|
32
|
Protestant
|
16
|
2
|
Alberta
|
Female
|
Caucasian
|
37
|
Catholic
|
13
|
3
|
Alberta
|
Female
|
Black
|
72
|
Catholic
|
20
|
4
|
Alberta
|
Female
|
Caucasian
|
86
|
Jewish
|
12
|
5
|
Alberta
|
Male
|
Caucasian
|
30
|
Protestant
|
5
|
6
|
Alberta
|
Male
|
Caucasian
|
32
|
Catholic
|
10
|
7
|
Alberta
|
Female
|
Black
|
29
|
Protestant
|
18
|
8
|
Alberta
|
Male
|
Black
|
29
|
Protestant
|
4
|
9
|
Alberta
|
Female
|
Black
|
53
|
Protestant
|
6
|
10
|
Alberta
|
Male
|
Black
|
68
|
Protestant
|
9
|
11
|
Alberta
|
Female
|
Caucasian
|
19
|
Catholic
|
2
|
12
|
Alberta
|
Female
|
Black
|
43
|
Catholic
|
14
|
13
|
British Columbia
|
Female
|
Black
|
38
|
None
|
12
|
14
|
British Columbia
|
Male
|
Caucasian
|
45
|
Catholic
|
17
|
15
|
British Columbia
|
Male
|
Black
|
24
|
None
|
1
|
16
|
British Columbia
|
Male
|
Caucasian
|
53
|
Catholic
|
3
|
17
|
British Columbia
|
Female
|
Caucasian
|
20
|
Catholic
|
7
|
18
|
British Columbia
|
Male
|
Caucasian
|
27
|
Catholic
|
11
|
19
|
British Columbia
|
Male
|
Caucasian
|
54
|
Catholic
|
8
|
20
|
British Columbia
|
Female
|
Black
|
25
|
Protestant
|
15
|
21
|
British Columbia
|
Male
|
Black
|
20
|
Catholic
|
1
|
22
|
British Columbia
|
Female
|
Black
|
38
|
Catholic
|
7
|
23
|
British Columbia
|
Male
|
Caucasian
|
20
|
Catholic
|
5
|
24
|
British Columbia
|
Female
|
Black
|
34
|
Catholic
|
10
|
25
|
British Columbia
|
Female
|
Caucasian
|
67
|
Protestant
|
19
|
Run
frequencies for the following categorical (i.e., discrete) variables: Gender,
Ethnicity, Religion, and Province. Answer
the following questions:
What
percentage of the sample is female?
What
percentage of the sample is Black?
What
percentage of the sample is Catholic?
What
percentage of the sample is from Alberta?
After running descriptive procedures
Fill in
the box:
Variable
|
Mean
|
Standard
Deviation
|
Lowest
Value
|
Highest
Value
|
Range
|
Age
|
|||||
Mother’s
Education
(in
years)
|
SOLUTION
STEP 1:
let us make the following representations:
PROVINCE
1 Alberta
2 British
Columbia
GENDER
1 male
2 female
ETHNICITY
1 Caucasian
2 Black
RELIGION
1 Protestant
2 Catholic
3 Jewish
4 None
5 Other
STEP 2:
Enter the variable into the variable view as shown in fig.1
Fig.1
STEP 3:
Enter the value into the Data Editor as shown in Fig. 2 and save it as sample 1
Fig. 2
STEP 4: click Analyze - Descriptive Statistics – Frequencies,
fig. 3 will be display Click on the selected variable in the left box and
transfer it to the Variable(s) box by clicking the arrow as shown in fig. 4. Note:
You can transfer more than one variable to the Variable(s) box and run
frequencies for all variables at the same time.
Fig. 3
Fig. 4
STEP 5: In the same window click on Statistics as
shown in fig. 5 Select minimum, maximum, and range (they may already be
selected as default) Continue. In the same window click on Charts… Bar chart a
(You can also try a histogram with or without the normal curve, and a pie chart
as shown in fig. 6. However, SPSS will only allow you to select on 1 chart at a
time!) Continue OK. Then the output will be display as shown in fig. 7
Fig. 5
Fig. 6
Fig. 7
STEP 6:
To run descriptive for each variable, Analyze - Descriptive Statistics - Descriptive
Click on the selected variable in the left box and
transfer it to the Variable(s) box by clicking the arrow. You can transfer more
than one variable to the Variable(s) box and run descriptive for all variables
at the same time. In the same window click on Options Select mean, standard
deviation, minimum, maximum and range (some may already be selected as default)
Continue OK.
Attached is a video of the solution to the sample question 1. Enjoy the first video released by abataysoftwarewizard. watch out for more video this is just for test running. Feel free to ask questions.
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