Provide a 95 % Cl for the OR computed in Problem 13.19. |...

Name: Problem 20, Chapter 13: Fundamentals of Biostatistics
Uploaded: 2021-08-26T04:18:29-08:00
Duration: 1 min 55 s
Channel: Linda Hand
Description: Provide a 95 % Cl for the OR computed in Problem 13.19.

Key Concepts

Standard Error

The standard error represents the standard deviation of the sampling distribution of an estimator. When estimating the confidence interval for the log-transformed odds ratio, the standard error of the log odds ratio is essential for quantifying how much the estimate is expected to vary from sample to sample, which in turn affects the width of the confidence interval.

Log Transformation

Log transformation is used when calculating confidence intervals for odds ratios because the odds ratio's sampling distribution tends to be skewed. By taking the logarithm of the odds ratio, the distribution approximates normality, allowing for easier application of standard statistical methods for interval estimation, and then the interval is exponentiated back to the original scale.

Confidence Interval

A confidence interval in statistics provides a range of values that is likely to contain the true parameter of interest—in this case, the odds ratio. A 95% confidence interval means that if the same study were repeated numerous times, approximately 95% of the calculated intervals would include the true odds ratio.

Odds Ratio

The odds ratio is a measure of association used to describe the strength of the relationship between an exposure and an outcome. It compares the odds of the outcome occurring in the exposed group to the odds in the unexposed group, commonly employed in epidemiological studies and case-control research.

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