\317\2072-fordelingenGenerelt om \317\2072-fordelingen\317\2072-fordelingen er en kontinuert fordeling, modsat binomialfordelingen som er en diskret fordeling.Fordelingen er s\303\246rdeles kompleks at beskrive med matematiske formler. Formlerne opdaget af Pearson omkring \303\245r 1900.
http://en.wikipedia.org/wiki/Chi-squared_distributionhttp://en.wikipedia.org/wiki/Pearson%27s_chi-squared_test
Gr\303\246ske bogstaver: \317\207: chi [udtales "ki"] \316\275: ny (antal frihedsgrader i \317\2072-fordelingen) \316\274: my (middelv\303\246rdi i en fordeling) \317\203: sigma (spredning i en fordeling)Vi definerer en stokastisk variabel LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiWEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJ0YvRjQvRjhGPEY6, som er LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2Ji1JI21uR0YkNiVRIjJGJ0Y1RjcvRjNRJXRydWVGJ0Y1L0Y4USdpdGFsaWNGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNUY3-fordelt med \316\275 frihedsgrader:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==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Vi beregner middelv\303\246rdi og spredning (generelt):LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KVElJm11O0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyMDQsMTUzXUYnLyUnb3BhcXVlR0YxLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUkjbW9HRiQ2MVEqJmNvbG9uZXE7RidGL0Y1RjhGOkY9LyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1GLDYpUSVNZWFuRidGLy9GM0YxRjVGOC9GO1EsYm9sZC1pdGFsaWNGJ0Y9LUkobWZlbmNlZEdGJDYoLUYjNiMtRiw2KVEiWEYnRi9GWUY1RjhGWkY9Ri9GNUY4RjpGPQ==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2KVEoJnNpZ21hO0YnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyMDQsMTUzXUYnLyUnb3BhcXVlR0YxLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y8LUkjbW9HRiQ2MVEqJmNvbG9uZXE7RidGL0Y1RjhGOkY9LyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1GLDYpUTJTdGFuZGFyZERldmlhdGlvbkYnRi8vRjNGMUY1RjgvRjtRLGJvbGQtaXRhbGljRidGPS1JKG1mZW5jZWRHRiQ2KC1GIzYjLUYsNilRIlhGJ0YvRllGNUY4RlpGPUYvRjVGOEY6Rj0=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1cEdGJDYlLUkjbWlHRiQ2KFEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrYmFja2dyb3VuZEdRLlsyMDQsMjU1LDIwNF1GJy8lJ29wYXF1ZUdRJXRydWVGJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNigtSSNtbkdGJDYnUSIyRidGNUY4RjtGPS9GM0Y6RjVGOEY7L0Y+USdpdGFsaWNGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNUY4RjtGPQ==-fordelingen har 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 og 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 af sandsynlighederne med integralregning:NB:
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 angiver "ProbabilityDensityFunction" (t\303\246thedsfunktionen for LUklbXN1cEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJmNoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0YxLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JJW1yb3dHRiQ2JS1JI21uR0YkNiVRIjJGJ0YyRjRGMkY0LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJw==-fordelingen)
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 angiver "CumulativeDistributionFunction" (den kumulerede sandsynlighedsfordeling = fordelingsfunktionen for LUklbXN1cEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEmJmNoaTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJStleGVjdXRhYmxlR0YxLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JJW1yb3dHRiQ2JS1JI21uR0YkNiVRIjJGJ0YyRjRGMkY0LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJw==-fordelingen)Den samlede sandsynlighed i \317\2072-fordelingen skal v\303\246re 100%, dvs. 1:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LVErJkludGVncmFsO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZHLUYjNiMtSSNtbkdGJDYkUSIwRidGMi1GIzYjLUYvNi1RKCZpbmZpbjtGJ0YyL0Y2USZmYWxzZUYnL0Y5RlYvRjtGVi9GPkZWL0ZARlYvRkJGVi9GREZWRkVGSC8lMXN1cGVyc2NyaXB0c2hpZnRHRk8vJS9zdWJzY3JpcHRzaGlmdEdGTy1JI21pR0YkNiVRJFBERkYnLyUnaXRhbGljR0Y8L0YzUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUZcbzYlUSJYRidGX29GYW8tRi82LVEiLEYnRjJGVS9GOUY8RlhGWUZaRmVuRmZuRkUvRklRLDAuMzMzMzMzM2VtRictRlxvNiVRInhGJ0Zfb0Zhb0YyLUYvNi1RIn5GJ0YyRlVGV0ZYRllGWkZlbkZmbkZFRkgtRi82LVEwJkRpZmZlcmVudGlhbEQ7RidGMkY1RjgvRjtGN0Y9L0ZARjdGQUZDRkVGSEZhcA==Grafer over \317\2072-fordelingen (grafen afh\303\246nger af \316\275 = antal frihedsgrader)Hvordan ser grafen for \317\2072-fordelingen ud?Lad os variere antal frihedsgrader \316\275 fra 1 til 10.Vi vil gerne tegne graferne i samme koordinatsystem.F\303\270rst beregnes alle graferne, og gemmes i variablen LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEsUGxvdFBERkNoaTJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYmLUYvNiZRJyYjOTU3O0YnL0YzRjdGNS9GOVEnbm9ybWFsRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1GLzYjUSFGJ0Y1RkE= hhv. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEsUGxvdENERkNoaTJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiZRJSZudTtGJy9GM0Y3RjUvRjlRJ25vcm1hbEYnRjVGQS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnRjVGQQ==.Og graferne skal have forskellig farvetone.Derefter tegnes alle graferne i samme koordinatsystem med kommandoen 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sandsynlighed CDF for 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Gym-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LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlU0tGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiQ/JkYqLSUpQ0hJTERSRU5HNiI=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LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlU0RGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiRdJ0YqLSUpQ0hJTERSRU5HNiI=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==QyQtSSV3aXRoRzYiNiNJJEd5bUdGJSEiIg==Gym-pakken indeholder bl.a. "chipdf" og "chicdf".Hermed kan LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JlEnJiM5Njc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2Ji1JI21uR0YkNiVRIjJGJ0Y1RjcvRjNRJXRydWVGJ0Y1L0Y4USdpdGFsaWNGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNUY3-fordelingen lettere tegnes.T\303\246thedsfunktionen med 5 frihedsgrader:LUklcGxvdEc2IjYpLUknY2hpcGRmR0YkNiQiIiZJInhHRiQvRio7IiIhIiM/L0kieUdGJDtGLSQiIiMhIiJJKmdyaWRsaW5lc0dGJC9JJmNvbG9yR0YkSSRyZWRHRiQvSSdsZWdlbmRHRiQqJkkzdHxed3xhdXRoZWRzZnVua3Rpb25lbkdGJCIiIkkkUERGR0YkRj0vSSZ0aXRsZUdGJCwkSS5mcmloZWRzZ3JhZGVyR0YkRik=Arealet under grafen b\303\270r give 1 (dvs. 100% i sandsynlighed):LUkkaW50RzYiNiQtSSdjaGlwZGZHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lR0YkSSRHeW1HRiQ2JCIiJkkieEdGJC9GLzsiIiFJKWluZmluaXR5R0YpFordelingsfunktionen med 5 frihedsgrader:LUklcGxvdEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYpLUknY2hpY2RmR0YnNiQiIiZJInhHRicvRi07IiIhIiM/L0kieUdGJztGMCIiIkkqZ3JpZGxpbmVzR0YnL0kmY29sb3JHRidJJWJsdWVHRicvSSdsZWdlbmRHRicqJkk1Zm9yZGVsaW5nc2Z1bmt0aW9uZW5HRidGNUkkQ0RGR0YnRjUvSSZ0aXRsZUdGJywkSS5mcmloZWRzZ3JhZGVyR0YnRiw=Grafen er voksende, og skal n\303\246rme sig 1 (dvs. 100%), n\303\245r LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JlEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LlEoJnNyYXJyO0YnRjIvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTi1GOTYuUSgmaW5maW47RidGMkY8Rj5GQEZCRkRGRkZIRkpGTEZPRjJGPA== :LUkmbGltaXRHNiI2JC1JJ2NoaWNkZkc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiRJJEd5bUdGJDYkIiImSSJ4R0YkL0YvSSlpbmZpbml0eUdGKQ==