Question
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.
Answer :
Word Count : 1033
We are asked to compute the simple (unweighted) and weighted Kappa statistics manually for a 5×5 table comparing two diagnostic methods. Let’s solve it step by step. --- ### Step 1: Organize the table The observed frequencies (O_{ij}) are: | Method-II \ Method-I | None | Mild | Moderate | Severe | Extreme | Row sum | | -------------------- | ---- | ---- | -------- | ------ | ------- | ------- | | None | 89 | 5 | 16 | 2 | 4 | 116 | | Mild | 36 | 3 | 15 | 6 | 2 | 62 | | Moderate | 20 | 4 | 22 | 6 | 1 | 53 | | Severe | 14 | 2 | 37 | 18 | 16 | 87 | | Extreme | 4 | 1 | 16 | 23 | 50 | 94 | | Column sum | 163 | 15 | 106 | 55 | 73 | 412 | Total observations (N) = 412 --- ### Step 2: _________ __________ _______ ________ __________ ___ _______ ________ ____ _________ _________ _______.
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We are asked to compute the simple (unweighted) and weighted Kappa statistics manually for a 5×5 table comparing two diagnostic methods. Let’s solve it step by step. --- ### Step 1: Organize the table The observed frequencies (O_{ij}) are: | Method-II \ Method-I | None | Mild | Moderate | Severe | Extreme | Row sum | | -------------------- | ---- | ---- | -------- | ------ | ------- | ------- | | None | 89 | 5 | 16 | 2 | 4 | 116 | | Mild | 36 | 3 | 15 | 6 | 2 | 62 | | Moderate | 20 | 4 | 22 | 6 | 1 | 53 | | Severe | 14 | 2 | 37 | 18 | 16 | 87 | | Extreme | 4 | 1 | 16 | 23 | 50 | 94 | | Column sum | 163 | 15 | 106 | 55 | 73 | 412 | Total observations (N) = 412 --- ### Step 2: _________ __________ _______ ________ __________ ___ _______ ________ ____ _________ _________ _______.
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Related Questions
Left and Right censoring
Coefficient of determination and adjusted coefficient of determination.
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 |
Probit model and Complementary log-log model.
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.
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(e) If the relative risk for a clinical trial is , the relative risk reduction will be
.
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. |
|
|
|
| 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 and
up to only one iteration.
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:
| Participant ID | CHD Time |
|---|---|
| P1 | 5 |
| P2 | 8 |
| P3 | 2 |
| P4 | 6+ |
| P5 | 9 |
| P6 | 6 |
| P7 | 10+ |
| P8 | 4 |
| P9 | 8 |
| P10 | 4+ |
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