TIInterActive Filev3) Teori: De indbyggede fordelingsfunktioner De indbyggede fordelingsfunktioner: Chi-kvadrat (c2) fordelingen hedder chisquare. Nr man skal arbejde med chi-kvadratfordelingen kan man benytte de flgende to operatorer: y = chisquarePdf(x,df): (Point Distribution Function) p = chisquareCdf(xlav,xhj,df) (Cumulative Distribution Function) Vi ser frst p tthedsfunktionen:  Som det ses kan vi ikke uden videre f oplyst forskriften. Vil man arbejde med forskriften skal den derfor indfres som en brugerdefineret funktion:  Det kan godt se lidt uoverskueligt ud, men for konkrete vrdier af antallet af frihedsgrader forenkles udtrykket - ikke mindst for de lige frihedsgrader:   For de ulige frihedsgrader frer integrationen kun til en numerisk approksimation. Det er ogs nemt at afbilde tthedsfunktionen (som har maksimum i x = df -2, dvs. i dette tilflde 3):  Vi ser dernst p den kumulerede fordeling:  Som det ses kan vi igen ikke f oplyst forskriften. Vil man arbejde med forskriften skal den derfor indfres som en brugerdefineret funktion:  Igen forenkles det betydeligt for et konkret antal frihedsgrader, ikke mindst for de lige frihedsgrader:    (hvor det sidste udtryk er fremkommet ved at anvende en expand-kommando)   Endelig kan man finde fraktilerne (den inverse kumulerede fordeling). Men da den inverse chi2-funktion ikke er indbygget m vi her ty til en solve-kommando:  Vi ser alts at 95% af observationerne ligger under 11.0705, hvis vi har en stokastisk variabel, der er chi-kvadrat fordelt med 5 frihedsgrader:  U52,P-P0%PUPcPd<PePPPPPP4P1P2PBPFPGPKPLPNVPPP?P@PPPPPPPP:PP PPPoPpsPPPPPlPLP4P5PP PPPsPtPBookman Old StyleBookman Old StyleBookman Old StyleSymbolBookman Old StyleBookman Old Style.//0TUUV/0xyyz=>>?@AAB;<<=mnnopqrs5667899:qrrstuwd p@ P !$`'d p@ P !$`'@dd;&7& CTxobjItem&ࡱ>  Root EntryZn@3&$@D@Contents/OlePres000 M 93b 64 64 1 1 1 0 ffff0007 b0002 796c4743 74536870 88656c79 ffffff 0 0 90000000 1 7010000 54000000 73656d69 77654e20 6d6f5220 6e61 0 0 0 0 ff000000 7800ffff 64000000 8000000 6e617453 64726164 0 1 80010006 ffffff88 0 0 0 190 1000000 7 626d7953 6c6f 0 0 0 0 0 0 0 ffffff 78 64 64745309 626d7953 16c6f 10000 0 8001 0 0 0 2bc0000 0 70100 79530000 6c6f626d 0 0 0 0 0 0 0 ffff0000 7800ff 640000 530d0000 79536474 6c6f626d 646c6f42 1 1 80010000 ffffff88 0 0 0 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1e801020 96000000 78000000 0 1000000 100 100 0 2000 0 0 1ffff 47430014 6870796c 706d6953 6f43656c 736f706d 7265 0 7000000 b040000 0 ffff0000 80001 796c4743 534d6870 145 8f 71 0 ffff 10000 0 10000 145800b 8f0000 710000 0 ffff0000 0 1 0 80100006 26 8f 71 0 1ffff 10000 0 10220000 5380 8f00 7100 0 1ffff00 1000000 0 44000000 3c8010 8f0000 710000 0 ffff0000 1 1 0 3580106f 8f000000 71000000 0 ff000000 1ff 100 0 80106e00 35 8f 71 0 1ffff 10000 0 10650000 2680 8f00 7100 0 1ffff00 1000000 0 22000000 0 0 170000 0 1ffff 4743000a 6870796c 6d726554 1 96 ffffffff 0 1ffff 10000 0 0 0 0 b0017 b0000 b0000 b0000 0 3260000 d20000 ffff0000 ffffffff ffffffff 1 1 0 0 0 1 0 3 454d4305 25453 ae058000 20202020 1 1(33 10001 0 0 0 0 13601 0 10000 0 0 0 0 0d@@chi2density(x, df) := when(x < 0,0, when(x >= 0, ((x)^( (df)/(2) - 1)*(#e)^( (-x)/(2) ))/( integral(((x)^( (df)/(2) - 1)*(#e)^( (-x)/(2) )),(x),(0),( inf ))) ))Times New Roman "Done"Times New Roman  m "NANI u[&@dd H;V7V CTxobjItemVࡱ> ( Root 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