Zahoor Ahmad

 

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Data Analysis and Statistical Packages (1569)

Assignment # 1:

1

Perform the following tasks in SPSS.

 

a)

use catalog.sav sample data file to fit a multiple linear model to predict "Sales of Men's Clothing" on the basis of variables "Number of Catalogs Mailed", "Number of Pages in Catalog", "Number of Phone Lines Open for Ordering", "Amount Spent on Print Advertising" and "Number of Customer Service Representatives".
Use forward selection, backward elimination and enter methods in this respect. Interpret your result in each case.

 

 

b)

Use bankloan.sav sample data file to fit a binary logistic regression model to predict default on the basis of variables age, ed, income, debtinc, creddebt and othdebt. Interpret your result.

 

 

c)

Find frequency distribution of "Preferred breakfast" for those senior citizens who are also living an active life (Use sample data set cereal.sav).

 

2

Perform the following tasks in SPSS.

 

a)

Carry out a test of independence of attributes "Preferred breakfast" and "marital status". (Use cereal.sav)

 

 

b)

Carry out a test of independence of attributes "Preferred breakfast" and "Age category". (Use cereal.sav)

 

 

c)

Use grocery_coupons.sav sample data file to test that the mean of amount spent is equal to 105. Find 90% confidence interval for the mean of amount spent.
Also test that the mean of amount spent by both male and female customers is equal. What would to say about the equality of means for amount spent on stores of different sizes.
 

3.

Question 3 is a group assignment (Group size not more than 5 students).

 

a)

Create a Questionnaire having 10-15 questions to collect data from 30 respondents. Topic may be of your choice. Submit the soft copy of questionnaire through class representative not later than 20th October 2019.

 

b)

Enter your data in SPSS. Naming of variables and data types should be appropriate.

 

c)

Carry out data analysis of this data set.

 

d)

Submit report of the statistical analysis of this data in MS Word.

 

 

 

4

Perform the following tasks in Minitab.

 

a)

In order to ascertain the age distribution of operatives in a certain industry, random samples of 1720 males and 1230 females are drawn. The sample means and standard deviations were 33.93 years and 14.20 years for the males and 27.44 years and 10.79 years for the females. Calculate the 95 percent confidence interval for

i)      The mean age of all the male operatives.

ii)     The differences between their mean ages.

 

b)

A psychology class performed an experiment to compare whether a recall score in which instructions to form images of 25 words were given is better than an initial recall score for which no images instruction were given. Twelve students participated in the experiment with the following results:

With Imagery

20

24

20

18

22

19

20

19

17

21

17

20

Without Imagery

5

9

5

9

6

11

8

11

7

9

8

16

Does it appear that the average recall score is higher when imaginary is used? Also construct 95% confidence interval for the difference between the mean of both the imageries and interpret the results.

 

c)

Generate 4 samples of sizes 5, 6, 7 and 7 from normal populations with means 45, 40, 47  and 38 respectively. While the standard deviations of these distributions are 4, 6, 7 and 8 respectively. Test the equality of means.

 

 

 

5

a)

Explain the procedure for testing of equality of several means in Minitab and SPSS.

 

b)

Use Minitab/SPSS to test equality of means for the following experiment of wheat yield for different varieties. Varieties are shown by A, B, C, D and E.

A    (8)

B   (5.3)

C   (4.1)

D   (5)

E   (16)

D   (6.8)

A   (4.9)

B   (4.1)

C   (3.2)

E   (18)

B   (6.3)

E   (16)

C   (4.7)

D   (4.0)

A   (5.0)

C   (5.7)

D   (3.3)

E   (25)

A   (4.0)

B   (4.2)

E   (18)

C   (4.7)

A   (4.2)

D   (6.6)

B   (6.2)

 

 

 

6

a)

Consider the experiment in which two fair dice are tossed and the absolute difference of dots is recorded. Simulate this experiment 600 times using minitab. Find the frequency distribution of the absolute differences and find mean and variance of this distribution.

 

 

 

 

b)

Compare the statistical packages SPSS and Minitab with respect to statistical data analysis in social sciences and physical sciences.

 

 

 

7

a)

Perform regression analysis to predict trade on the basis of other two variables on sample dataset Employ.MTW. Also use matrix approach to do the same task. Furthermore, calculate predicted values.

 

b)

Discuss the normality tests available in Minitab?

 

 

 

8

Perform the following tasks in R.

 

a)

A psychology class performed an experiment to compare whether a recall score in which instructions to form images of 25 words were given is better than an initial recall score for which no images instruction were given. Twelve students participated in the experiment with the following results:

With Imagery

20

24

20

18

22

19

20

19

17

21

17

20

Without Imagery

5

9

5

9

6

11

8

11

7

9

8

16

Does it appear that the average recall score is higher when imaginary is used? Also construct 95% confidence interval for the difference  between the mean of both the imageries and interpret the results.

 

b)

Consider the experiment in which two fair dice are tossed and the absolute difference of dots is recorded. Simulate this experiment 600 times. Find the frequency distribution of the absolute differences and find mean and variance of this distribution.

   

 

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