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Fisher's exact test

Fisher's exact test

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Introduction to biostatistics
Types of data
Probability
Mean, median, and mode
Range, variance, and standard deviation
Standard error of the mean (Central limit theorem)
Normal distribution and z-scores
Paired t-test
Two-sample t-test
Hypothesis testing: One-tailed and two-tailed tests
One-way ANOVA
Two-way ANOVA
Repeated measures ANOVA
Correlation
Methods of regression analysis
Linear regression
Logistic regression
Spearman's rank correlation coefficient
Mann-Whitney U test
Kappa coefficient
Chi-squared test
Fisher's exact test
Kaplan-Meier survival analysis
Type I and type II errors
Sensitivity and specificity
Positive and negative predictive value
Test precision and accuracy
Incidence and prevalence
Relative and absolute risk
Odds ratio
Attributable risk (AR)
Mortality rates and case-fatality
DALY and QALY
Direct standardization
Indirect standardization
Study designs
Clinical trials
Disease causality
Selection bias
Confounding
Interaction
Bias in interpreting results of clinical studies
Bias in performing clinical studies
Prevention

Key Takeaways

Fisher's exact test is a statistical test that uses a 2x2 categorical data design. It is used to determine whether the proportions of two categorical variables are different from each other. It is a more powerful alternative to the chi-squared test, and is particularly useful when there are small sample sizes.

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Fisher's exact test

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An investigator is conducting a pilot study to evaluate the effects of Drug X and Drug Y on treating leukemia. Results are shown below in the following 2 by 2 contingency table:  

  Cured  Not Cured  Total 
 Drug X  9  11  20 
 Drug Y  3  18  21 
 Total  12  29  41 

After completing the study, the investigator discovers that the percentage of patients who were cured after taking Drug X is much higher than that of patients taking Drug Y. Which of the following statistical tests was most likely used to draw this conclusion?