Question

 Coefficient of determination and adjusted coefficient of determination.

19 Jan 2026
Answer :
Word Count : 140
BasisCoefficient of Determination (R²)Adjusted Coefficient of Determination (Adjusted R²)
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Related Questions

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):

Method-II Method-I
None Mild Moderate Severe Extreme
None 89 5 16 2 4
Mild 36 3 15 6 2
Moderate 20 4 22 6 1
Severe 14 2 37 18 16
Extreme 4 1 16 23 50

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

Left and Right censoring

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

S. No.  


xi​
 

  


yi​
 

  


ni​
 
1 5 24 60
2 10 18 48
3 15 12 40
4 20 20 80
5 25 26 104

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

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

 Chi-square test and McNemar’s test.

 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

Age (years) 46 52 39 65 54 49 76 71
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Group 2

Age (years) 20 33 78 51 43 44 63
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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:

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P1 5
P2 8
P3 2
P4 6+
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P6 6
P7 10+
P8 4
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Estimate the survival function using the K-M method.

State whether the following statements are True or False. Give reason in support of your answer: 
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(b) A multiple regression model with three regressor variables was fitted on 15 observations, and the following values were obtained:

equation
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 equation, the relative risk reduction will be equation.

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