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From equal size to Student
Investigates equal size samples Student's type statistic.
2024.Nov.25 08:01:46
T, n (T ≥ 5) N. of loads and their equal size sample. •
μ, σ Gaussian parameters (mean, standard deviation). •
Trials Monte Carlo trials.
Points, seed       N. of graph points, RNG seed. •
'Range' Plot range (× σ). •
Show values Show the graph coordinates.

Simulates samples of size T, each containing n ≥ 1 elements.

The behaviour reduces to classical samples of size T, ruled by the Student's t distribution, with T − 1 degrees of freedom.

Draws plots of averages for (1) the Gaussian, and (2) the Student's.

References: Plate: eqStudent

• Wikipedia: Student's t-distribution.

• Keisan Online Calculator: Student's t-distribution Calculator (Casio Computer Co., Ltd.).

• 1906-09-20: Faddeeva, Vera Nikolaevna († 1983-04-15).

 
 
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Created: 2019-09-20 — Last modified: 2019-10-06