# PROPHET StatGuide: Expanded List of Topics

*Jump to a section on this page:*
Descriptive statistics,
testing distributions,
comparison tests,
nonparametric comparison tests,
comparing regression lines,
frequency and contingency tables,
variance tests,
survival analysis,
exploratory data analysis,
fitting models to data.

**Descriptive statistics: **

**Descriptive statistics**
(sample size, number missing, mean, median, standard deviation, etc.)

**Testing distributions:**

**Testing distributional goodness of fit**
(normality tests,
Kolmogorov-Smirnov test,
chi-square goodness of fit test)

**Comparison tests:**

**Testing equality of means or location**
(t test,
analysis of variance [ANOVA],
sign test [one-sample
and two-sample paired],
signed rank test [one-sample
and two-sample paired],
rank sum test,
Kruskal-Wallis test,
Friedman's test,
Compare Samples,
Cochran's Q test,
McNemar's Q test)

**Nonparametric comparison tests:**

**Nonparametric tests of location or spread**
(sign test [one-sample
and two-sample paired],
signed rank test [one-sample
and two-sample paired],
rank sum test,
Kruskal-Wallis test,
Friedman's test,
Compare Samples,
Cochran's Q test,
McNemar's Q test,
Ansari-Bradley test)

**Comparing regression lines:**

**Comparing simple linear (straight-line) regression lines**
(analysis of covariance [ANCOVA])

**Frequency and contingency tables:**

**Frequency and contingency tables** (categorical analysis)
(creating frequency tables,
cross-tabulation [creating contingency tables, measures of association],
contingency table analysis
[chi-square test for independence, Fisher's exact test])

**Variance tests:**

**Testing equality of variances or dispersions**
(chi-square test for variance,
F test,
Levene's test,
Bartlett's test,
Ansari-Bradley test)

**Survival analysis:**

**Survival analysis** (analyzing and comparing survival functions)
(life tables,
Kaplan-Meier plot,
comparing survival curves
[Mantel-Cox test, Gehan-Breslow test, Tarone-Ware test])

**Exploratory data analysis:**

**Exploratory data analysis** (EDA) (discovering patterns in data)
(coded tables,
median polish,
letter values,
repeated-median regression)

**Fitting models to data:**

**Model fitting**
(simple linear (fitting a line:
*b0 + b1*x*),

multiple linear (fitting a linear combination of x
terms:
*b0 + b1*x1 + b2*x2 + ... + bn*xn*),

polynomial (fitting a polynomial,
*b0 + b1*x + b2*x**2 + ... + bn*x**n)*,

non-linear (fitting an arbitrary function f(x), e.g.,
*(vmax*x) / (km+x)*,

*dose*exp(-k*t)*),

logistic (fitting the *logit* of y by a linear
combination of x terms:

* b0 + b1*x1 + b2*x2 + ... + bn*xn*))

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##### Last modified: March 11, 1997

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