A researcher wants to know if a new antihypertensive drug reduces systolic BP more than placebo. She randomizes 30 patients (15 per group). Mean BP reduction in drug group = 12 mmHg (SD 4); placebo group = 5 mmHg (SD 5). Test at α = 0.05. Solution from Ibrahim:
Since p (0.008) < alpha (0.05), reject H0. Conclude: The diet statistically significantly reduces LDL cholesterol. Furthermore, a 95% CI of the difference (e.g., -15 mg/dL to -5 mg/dL) shows clinical relevance. biostatistics by muhammad ibrahim
In his writing, Ibrahim emphasizes that biostatistics is the science of inferring knowledge from biomedical data to solve public health problems. The book highlights critical functions of statistics in medicine, such as: Measuring uncertainty in healthcare systems. A researcher wants to know if a new
The work of Muhammad Ibrahim, particularly his book "Introduction to Biostatistics & Research Methods," Test at α = 0
❌ – No Bayesian statistics, survival analysis (Kaplan-Meier), or longitudinal data mixed models. ❌ Software coverage is basic – Only screenshots of SPSS dialogs; no code for R or Python. ❌ Some errors in early editions – Check for errata sheets from the publisher. ❌ Not peer-reviewed internationally – May not meet the rigor of Western biostatistics texts like Rosner or Pagano.
| Section | Topic | Key Concepts | |---------|-------|----------------| | | Introduction | Scope of biostatistics, variables, measurement scales (nominal, ordinal, interval, ratio). | | II | Data Presentation | Frequency tables, bar charts, histograms, pie charts, stem-and-leaf plots, boxplots. | | III | Descriptive Statistics | Mean, median, mode; range, variance, standard deviation, coefficient of variation. | | IV | Probability | Basic probability rules, conditional probability, Bayes’ theorem (applied to diagnostic tests). | | V | Probability Distributions | Binomial, Poisson, Normal distribution; Z-scores; Central Limit Theorem. | | VI | Sampling | Sampling methods (random, stratified, cluster), sampling error, non-probability sampling. | | VII | Estimation & Confidence Intervals | Point vs. interval estimation; CI for mean, proportion, and difference between means. | | VIII | Hypothesis Testing | Null/alternative hypotheses, p-values, type I & II errors, power, one-tailed vs. two-tailed tests. | | IX | Parametric Tests | t-test (independent, paired), ANOVA (one-way, two-way), Pearson correlation. | | X | Non-parametric Tests | Mann-Whitney U, Wilcoxon signed-rank, Kruskal-Wallis, Chi-square, Fisher’s exact test. | | XI | Regression & Correlation | Simple linear regression, multiple regression, logistic regression basics, Spearman’s rho. | | XII | Vital Statistics | Mortality rates, morbidity rates, life tables, standardized rates. | | XIII | Clinical Trials | Randomization, blinding, placebo control, equivalence/non-inferiority designs. | | XIV | Computer Applications | Use of SPSS, MS Excel, or R for biostatistical analysis (included as an appendix or practical manual). |
Biostatistics serves as the scientific foundation for interpreting clinical data. According to Ibrahim’s teaching philosophy, statistical literacy is essential for physicians and researchers to: Identify Trends