   Affiliate Link Disclosure Statistics Textbooks Books on Bootstrapping Statistics Equations Reference Chart Parameters, Variables, Intervals, Proportions Reference Chart Probability Quick Study Reference Chart Statistics101 executes programs written in an enhanced version of the easy-to-learn Resampling Stats language. Resampling Stats is a statistical simulation language. You write a program in the language, describing the process behind a probability or statistics problem. Statistics101 then executes that program, computing probability and statistics answers without using mysterious formulas. Statistics101 runs your Resampling Stats model thousands of times, each time with different random numbers or samples, keeping track of the results. When the program completes, you have your answer.
As a very simple example, say you wanted to know the probability of getting exactly two heads in a toss of three coins. You could toss three coins many times, counting the number of times you got exactly two heads and dividing by the number of tosses. That would take considerable effort and time. You could also calculate it precisely if you knew the correct formula. Instead, with Statistics101, you could model that process as follows:
URN (0 1) coin
REPEAT 1000
SAMPLE 3 coin toss
END
COUNT results =2 successes
DIVIDE successes 1000 probability
PRINT probability

The program simulates 1000 tosses of three coins and prints out the resulting probability. The output looks like this:
probability: 0.368

Here's what the above program is doing:
• Put the numbers 0 and 1, representing tails and heads, into an "urn" named "coin".
• Repeat the following three commands 1000 times:
• Take three samples at random, with replacement, from the "urn". This is equivalent to three tosses of a coin.
• Count how many of the tosses were equal to 1 (i.e., heads).
• Record the number of heads in the "results" vector or list.
• Count how many of the 1000 results in the results vector were equal to two, i.e., two heads.
• Calculate the probability by dividing the number of successes by the number of trials (1000).
• Print the probability.
• For much more on how to apply Statistics101 to probability and statistics problems, see the links in the right column of this page.
 Statistics101 Tutorials Flash Tutorial (700kb) Shows the main features of the Statistics101 program. Command Summary Gives a one-line description of each of the Resampling Stats commands. Intro to Statistics101 programming (PDF or Kindle) This doc gets you started with Statistics101 and the Resampling Stats language. User's Guide to Statistics101 (HTML) Describes the Statistics101 program and all the Resampling Stats commands in full detail. (Also included with the program download.) Examples: Typical introductory Statistics class examples solved using Resampling Stats instead of formulas and tables.  More Examples: Originally from Peter Bruce's website showing a variety of statistical problems solved using Resampling Stats. These will all work in the Statistics101 program. Used with permission. Resampling: The New Statistics Julian Simon's online textbook with full explanation and examples of applied resampling.

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