IGNOU MSTE 4 SOLVED ASSIGNMENT

Ques 1.

State whether the following statements are True or False. Give reason in support of your answer: 
(a) If there are 170 true positive cases out of 200 diseased cases, the sensitivity of the test will be 0.85.
(b) A multiple regression model with three regressor variables was fitted on 15 observations, and the following values were obtained:

Then, the adjusted R² will be 0.9618.
(c) The method of least squares is used for fitting the logistic model.
(d) The survival function is the probability of an individual surviving less than a specified time t.
(e) If the relative risk for a clinical trial is , the relative risk reduction will be .

Ques 2.

2. A study was conducted to compare two diagnostic methods, say, Method-I and Method-II. The following table shows the classification of the presence of infection on a 5-point Likert Scale (none, mild, moderate, severe and extreme):

Compute simple and weighted Kappa Statistic(s) to compare both methods.

Ques 3.

 To study the relationship between age (in years) and cholesterol level (in mg/dL) of two groups of patients, the following data were recorded:

Group 1

Group 2

(i) Fit the multiple regression model.

(ii) Obtain the regression models for each group separately.

(iii) Test the significance of the fitted model at 5% level of significance.

Ques 4.

4. The amount of dose (x_i), total number of patients who received medicine (n_i) and number of cured patients (y_i) are recorded in the following table:

(i) Fit a logistic model considering initial values of  and  up to only one iteration.

(ii) Test the significance of the fitted model using the Hosmer-Lemeshow test at 5% level of significance. 

Ques 5.

Explain the Kaplan and Meier method of estimation with an example.

Ques 6.

A hypothetical study was conducted on ten participants who were followed up for the development of coronary heart disease (CHD) over a period of 10 years. The recorded data are given as follows:

Estimate the survival function using the K-M method.

Ques 7.

Left and Right censoring

Ques 8.

 Chi-square test and McNemar’s test.

Ques 9.

 Coefficient of determination and adjusted coefficient of determination.

Ques 10.

Probit model and Complementary log-log model.

Ques 11.

State whether the following statements are True or False. Give reason in support of your answer: 
(a) If there are 170 true positive cases out of 200 diseased cases, the sensitivity of the test will be 0.85.
(b) A multiple regression model with three regressor variables was fitted on 15 observations, and the following values were obtained:

Then, the adjusted R² will be 0.9618.
(c) The method of least squares is used for fitting the logistic model.
(d) The survival function is the probability of an individual surviving less than a specified time t.
(e) If the relative risk for a clinical trial is , the relative risk reduction will be .

Ques 12.

2. A study was conducted to compare two diagnostic methods, say, Method-I and Method-II. The following table shows the classification of the presence of infection on a 5-point Likert Scale (none, mild, moderate, severe and extreme):

Compute simple and weighted Kappa Statistic(s) to compare both methods.

Ques 13.

 To study the relationship between age (in years) and cholesterol level (in mg/dL) of two groups of patients, the following data were recorded:

Group 1

Group 2

(i) Fit the multiple regression model.

(ii) Obtain the regression models for each group separately.

(iii) Test the significance of the fitted model at 5% level of significance.

Ques 14.

4. The amount of dose (x_i), total number of patients who received medicine (n_i) and number of cured patients (y_i) are recorded in the following table:

(i) Fit a logistic model considering initial values of  and  up to only one iteration.

(ii) Test the significance of the fitted model using the Hosmer-Lemeshow test at 5% level of significance. 

Ques 15.

Explain the Kaplan and Meier method of estimation with an example.

Ques 16.

A hypothetical study was conducted on ten participants who were followed up for the development of coronary heart disease (CHD) over a period of 10 years. The recorded data are given as follows:

Estimate the survival function using the K-M method.

Ques 17.

Left and Right censoring

Ques 18.

 Chi-square test and McNemar’s test.

Ques 19.

 Coefficient of determination and adjusted coefficient of determination.

Ques 20.

Probit model and Complementary log-log model.

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