| # | Purpose/routine | Input | Output | Example |
|---|---|---|---|---|
| [1] | Descriptive Statistics | a list of numbers are entered that are separated by comma |
sorted, mean, quantiles, skewness, outliers, etc. box and whisker diagram |
-2,1,6,10,7,4,5,1 yields a mean of 6.125 and 18 is an outlier |
| [2] | Discrete Simulation | expected frequencies, no. of simulations |
observed frequencies, bar graph |
a:3, b:2, c:5 n=1000 |
| [3] | Random Number Generation |
select from 1 of 10 different discrete or continuous distributions |
random numbers from the appropriate distribution |
normally distributed with mean=80, st.dev.=10 |
| [4] | Statistical Testing of Randomness |
choose from 1 of 5 random number generation routines |
results numerically and visually from various test of randomness |
L'Ecuyer's method |
| [5] | Convolution: sum of n identical variables |
a distribution function and interval area must be positive but not necessarily integrate to 1 since scale is used |
graph of 2 to 50 summations or all cases from 1 to 20 |
x*x on [-1,1] |
| [6] | Convolution of any 2 variables | two distribution functions |
graph of each of the 2 distributions and the convoluted distribution |
Math.abs(x) on [-4, 4] Math.exp(-x*x/2) on [-3, 3] |
| [7] | Distributions | select from 9 continuous and 3 discrete distributions - parameters and either p (probability) or x (quantiles) sliders* are also used |
graph showing p and quantile on the probability density function |
Chi Square distribution with 36 df, p = 0.95, yields x = 50.9984.. |