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Chapter 8

Distributions

Distributions pour estimer le paramètre de population
Distributions pour estimer le paramètre de population
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually ...
Degrés de liberté
Degrés de liberté
The degree of freedom for a particular statistical calculation is the number of values that are free to vary. Thus, the minimum number of independent ...
Distribution <em>des étudiants</em>
Distribution des étudiants
The population standard deviation is rarely known in many day-to-day examples of statistics. When the sample sizes are large, it is easy to estimate the ...
Choisir entre la distribution <em>z</em> et <em>t</em>
Choisir entre la distribution z et t
The z and the Student t distribution estimate the population mean using the sample mean and standard deviation. However, to decide which distribution to ...
Distribution du khi-deux
Distribution du khi-deux
How does one determine if bingo numbers are evenly distributed or if some numbers occurred with a greater frequency? Or if the types of movies people ...
Trouver les valeurs critiques du khi-deux
Trouver les valeurs critiques du khi-deux
Consider a curve representing sample data drawn randomly from a normally distributed population. One must construct confidence intervals to estimate or to ...
Estimation de l’écart-type de la population
Estimation de l’écart-type de la population
When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate of ...
Test de qualité de l’ajustement
Test de qualité de l’ajustement
The goodness-of-fit test is a type of hypothesis test which determines whether the data "fits" a particular distribution. For example, one may ...
Fréquences attendues dans les essais de qualité de l’ajustement
Fréquences attendues dans les essais de qualité de l’ajustement
A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the ...
Tableau de contingence
Tableau de contingence
A contingency table provides a way of portraying data that can facilitate calculating probabilities. It is a method of displaying a frequency distribution ...
Introduction au test d’indépendance
Introduction au test d’indépendance
In statistics, the term independence means that one can directly obtain the probability of any event involving both variables by multiplying their ...
Test d’hypothèse pour test d’indépendance
Test d’hypothèse pour test d’indépendance
The test of independence is a chi-square-based test used to determine whether two variables or factors are independent or dependent. This hypothesis test ...
Détermination de la fréquence prévue
Détermination de la fréquence prévue
Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of ...
Test d’homogénéité
Test d’homogénéité
The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two ...
<em>F</em> Répartition
F Répartition
The F distribution was named after Sir Ronald Fisher, an English statistician. The F statistic is a ratio (a fraction) with two sets of degrees of ...
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