Chi-square test and McNemar’s test.

Left and Right censoring

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.

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

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. 

 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.

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.

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 .

Discuss various considerations for accuracy assessment giving suitable examples.

What is change detection? Describe various classification based methods of change detection.

Use of functions in R programming and the difference between for and while loops.

R environment and RStudio interface and the importance of R programming

Signature evaluation for image classification

Give an account of various image transformation techniques.

What is image statistics? Explain the univariate and multivariate image statistics in detail.

Corrections of non-systematic radiometric errors

Edge detection

Image enhancement techniques

Explain the microwave remote sensing technique and its applications.

Give a detailed comparison of multispectral and hyperspectral remote sensing including their data processing.