This is project to work through, in a number of undetermined programming languages, the parts of Fundamentals of Biostatistics that Larry used to build his lisp stats code when he taught the course.
Larry has implementations of:
- Descriptive Statistics
- Mean, Rosner 10
- Median, Rosner 12, 19
- Mode, Rosner 14
- Geometric Mean, Rosner 16
- Range, Rosner 18
- Percentile, Rosner 19
- Variance, Rosner 21
- Std. Deviation, Rosner 21
- Coeff. of Variation, Rosner 24
- Std error of the mean, Rosner 172
- Distributions
- Bionomial
- exact, Rosner 93
- approximate, Rosner 105
- cumulative, Rosner 94
- ge, Rosner 94
- binomial-le-probability, Hunter
- Poisson
- probability, Rosner 100
- cumulative probability, Rosner 197
- ge
- Normal
- Normal Probability Density Function (pdf), Rosner 115
- Convert Standard to Normal, Rosner 130
- Phi, CDF (?) of standard normal distribution, Rosner 125 ????
- Z inverse normal function, Rosner 128
- T Distribution, Rosner 178
- Chi Square, Rosner 187
- distribution
- cdf
- Confidence Intervals
- Binomial
- approximate, Rosner 193
- exact, Rosner 194
- Poisson mu CI, Rosner 197
- Normal
- mean CI, Rosner 180
- normal mean CI on sequence
- normal mean variance ci, Rosner 190
- normal mean variance ci on sequence
- normal sd ci, Rosner 190
- normal sd ci on sequence
- Hypothesis Testing
- Z Test, Rosner 228
- T Test, Rosner 216
- paired
- on sequence
- two sample
- two sample on sequence
- F Test, Rosner 290
- Chi Square test, Rosner 246
- Bionomial Test one sample, Rosner 246
- Bionomial Test two sample, Rosner 357
- Fisher Exact Test, Rosner 371
- McNemar's Test, Rosner 379, 381
- Poisson Test one sample, Rosner 259
- Non Parametric Hypothesis Testing
- Sign Test, Rosner 335-7
- Sign Test on sequence
- Wilcoxon signed rank Test, Rosner 341
- Chi Square Test RxC, Rosner 395
- Chi Square Test for Trend, Rosner 398
- Sample Size Estimates (SSE)
- T-Test
- One Sample SSE, Rosner 238
- Two Sample SSE, Rosner 308
- Paired SSE, Rosner 311
- Bionomial Test
- One Sample SSE, Rosner 254
- Two Sample SSE, Rosner 384
- Paired SSE, Rosner 387
- Correlation SSE, Rosner 463
- Correlation and Regression
- Linear Regression, Rosner 431
- Correlation Coefficient, AKA Pearson Correlation
- Correlation Test Two Sample, Rosner 464
- on sequences
- Spearman Rank Correlation, Rosner 498
- Significance Functions
- T Significance, Rosner??
- F Significance, Rosner??
- ChiSquare, Normal ??
- Utilities
- random sample
- distribution?
- random pick
- random normal given mean and sdev
- bin and count (frequency distribution?)
- Fisher Z Transform, Rosner 458
- Permutations, Rosner 88
- Combinations, Rosner 90
- mean-sd-n
- round float
- False Discovery Correction, Benjamini & Hochberg 1995o
- Bonferroni Correction, Rosner 527
- Internals, many from http://eksl-www.cs.umass.edu/clasp.html
- sign
- factorial
- average-rank
- error-function
- gamma-incomplete
- gamma-ln
- error-function-complement
- find-critical-value
- beta-incomplete
- safe-exp