Search

12.3: توزيع F ونسبة F
https://query.libretexts.org/%D8%A7%D9%84%D9%84%D8%BA%D8%A9_%D8%A7%D9%84%D8%B9%D8%B1%D8%A8%D9%8A%D8%A9/%D9%83%D8%AA%D8%A7%D8%A8%3A_%D8%A5%D8%AD%D8%B5%D8%A7%D8%A1%D8%A7%D8%AA_%D8%A7%D9%84%D8%A3%D8%B9%D9%85%D8%A7%D9%84_(OpenStax)/12%3A__F__ANOVA/12.03%3A_%D8%AA%D9%88%D8%B2%D9%8A%D8%B9_F_%D9%88%D9%86%D8%B3%D8%A8%D8%A9_F
\[\begin{align*} S(\text { between }) &= \frac{(16.5)^{2}}{4}+\frac{(15)^{2}}{3}+\frac{(15.5)^{2}}{3}-\frac{(16.5+15+15.5)^{2}}{10} \\[4pt] &=2.2458 \\[4pt] S(\text {total}) &=\sum x^{2}-\frac{\left(\...\[\begin{align*} S(\text { between }) &= \frac{(16.5)^{2}}{4}+\frac{(15)^{2}}{3}+\frac{(15.5)^{2}}{3}-\frac{(16.5+15+15.5)^{2}}{10} \\[4pt] &=2.2458 \\[4pt] S(\text {total}) &=\sum x^{2}-\frac{\left(\sum x\right)^{2}}{n} \\[4pt] &=\left(5^{2}+4.5^{2}+4^{2}+3^{2}+3.5^{2}+7^{2}+4.5^{2}+8^{2}+4^{2}+3.5^{2}\right) -\frac{(5+4.5+4+3+3.5+7+4.5+8+4+3.5)^{2}}{10}\\[4pt] &=244-\frac{47^{2}}{10} \\[4pt] &=244-220.9 \\[4pt] & =23.1 \\[4pt] S(\text {within}) & = S(\text {total})-S S(\text {between}) \\[4pt…
12.3: A distribuição F e a razão F
https://query.libretexts.org/Idioma_Portugues/Livro%3A_Estatisticas_de_negocios_(OpenStax)/12%3A_Distribui%C3%A7%C3%A3o_F_e_ANOVA_unidirecional/12.03%3A_A_distribui%C3%A7%C3%A3o_F_e_a_raz%C3%A3o_F
Por exemplo, se $F$ segue uma $F$ distribuição e o número de graus de liberdade para o numerador é quatro e o número de graus de liberdade para o denominador é dez, então $F \sim F_{4,10}$ . Usando ...Por exemplo, se $F$ segue uma $F$ distribuição e o número de graus de liberdade para o numerador é quatro e o número de graus de liberdade para o denominador é dez, então $F \sim F_{4,10}$ . Usando um nível de significância de 5%, teste a hipótese nula de que não há diferença nos rendimentos médios entre os cinco grupos em relação à hipótese alternativa de que pelo menos uma média é diferente das demais.
12.3: Usambazaji wa F na Uwiano wa F
https://query.libretexts.org/Kiswahili/Kitabu%3A_Takwimu_za_Biashara_(OpenStax)/12%3A_F_Usambazaji_na_Njia_moja_ANOVA/12.03%3A_Usambazaji_wa_F_na_Uwiano_wa_F
Nadharia tete ya njia sawa ina maana kwamba idadi ya watu wana usambazaji sawa wa kawaida, kwa sababu inadhaniwa kuwa idadi ya watu ni ya kawaida na kwamba wana tofauti sawa. Kama ni zamu nje,\(M S_{b...Nadharia tete ya njia sawa ina maana kwamba idadi ya watu wana usambazaji sawa wa kawaida, kwa sababu inadhaniwa kuwa idadi ya watu ni ya kawaida na kwamba wana tofauti sawa. Kama ni zamu nje, $M S_{between}$ lina ugomvi idadi ya watu pamoja ugomvi zinazozalishwa kutoka tofauti kati ya sampuli. $M S_{within}$ ni makadirio ya ugomvi idadi ya watu.
12.3: F 分布和 F 比率
https://query.libretexts.org/%E7%AE%80%E4%BD%93%E4%B8%AD%E6%96%87/%E5%9B%BE%E4%B9%A6%EF%BC%9A%E5%95%86%E4%B8%9A%E7%BB%9F%E8%AE%A1_(OpenStax)/12%3A_F_%E5%88%86%E5%B8%83%E5%92%8C%E5%8D%95%E5%9B%A0%E5%AD%90%E6%96%B9%E5%B7%AE%E5%88%86%E6%9E%90/12.03%3A_F_%E5%88%86%E5%B8%83%E5%92%8C_F_%E6%AF%94%E7%8E%87
\[\begin{align*} S(\text { between }) &= \frac{(16.5)^{2}}{4}+\frac{(15)^{2}}{3}+\frac{(15.5)^{2}}{3}-\frac{(16.5+15+15.5)^{2}}{10} \\[4pt] &=2.2458 \\[4pt] S(\text {total}) &=\sum x^{2}-\frac{\left(\...\[\begin{align*} S(\text { between }) &= \frac{(16.5)^{2}}{4}+\frac{(15)^{2}}{3}+\frac{(15.5)^{2}}{3}-\frac{(16.5+15+15.5)^{2}}{10} \\[4pt] &=2.2458 \\[4pt] S(\text {total}) &=\sum x^{2}-\frac{\left(\sum x\right)^{2}}{n} \\[4pt] &=\left(5^{2}+4.5^{2}+4^{2}+3^{2}+3.5^{2}+7^{2}+4.5^{2}+8^{2}+4^{2}+3.5^{2}\right) -\frac{(5+4.5+4+3+3.5+7+4.5+8+4+3.5)^{2}}{10}\\[4pt] &=244-\frac{47^{2}}{10} \\[4pt] &=244-220.9 \\[4pt] & =23.1 \\[4pt] S(\text {within}) & = S(\text {total})-S S(\text {between}) \\[4pt…
12.3 : La distribution F et le rapport F
https://query.libretexts.org/Francais/Livre_%3A_Statistiques_commerciales_(OpenStax)/12%3A_Distribution_F_et_ANOVA_unidirectionnelle/12.03%3A_La_distribution_F_et_le_rapport_F
Par exemple, si l'on $F$ suit une $F$ distribution et que le nombre de degrés de liberté pour le numérateur est de quatre et que le nombre de degrés de liberté pour le dénominateur est de dix, alors...Par exemple, si l'on $F$ suit une $F$ distribution et que le nombre de degrés de liberté pour le numérateur est de quatre et que le nombre de degrés de liberté pour le dénominateur est de dix, alors $F \sim F_{4,10}$ . Il s'avère qu'il s' $M S_{between}$ agit de la variance de la population plus une variance produite à partir des différences entre les échantillons. $M S_{within}$ est une estimation de la variance de la population.