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+ |
Estimate the survival function using the K-M method.
Ten individuals were followed for up to 10 years, with “+” indicating right censoring. The observed event times are ordered as 2, 4, 5, 6, 8 and 9 years, with censoring at 4, 6 and 10 years. At time zero, the survival probability is ________ ________ ___ ______ _______ ________.
______ __________ ___ ____ _____.
___ ______ ____ ______ ___ ______ _______ ___ _________ ______ _____.
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____ _________.
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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
.
Chi-square test and McNemar’s test.
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.
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 |
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+ |
Explain the Kaplan and Meier method of estimation with an example.
Left and Right censoring