Dalam teori probabilitas dan statistika, distribusi F merupakan distribusi probabilitas kontinu.[1][2][3][4] Distribusi F juga dikenal dengan sebutan distribusi F Snedecor atau distribusi Fisher-Snedecor (setelah R.A. Fisher dan George W. Snedecor). Distribusi F sering kali digunakan dalam pengujian statistika, antara lain analisis varians dan analisis regresi.
Fakta Singkat Parameter, Dukungan ...
Fisher-Snedecor![](//upload.wikimedia.org/wikipedia/commons/thumb/7/74/F-distribution_pdf.svg/325px-F-distribution_pdf.svg.png) |
Fungsi distribusi kumulatif ![](//upload.wikimedia.org/wikipedia/commons/thumb/d/df/F_distributionCDF.png/325px-F_distributionCDF.png) |
Parameter | derajat kebebasan |
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Dukungan | ![{\displaystyle x\in [0,+\infty )\!}](//wikimedia.org/api/rest_v1/media/math/render/svg/b8228da3abf736742ab62da739bb670cc89fc7ae) |
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Unknown type | ![{\displaystyle {\frac {\sqrt {\frac {(d_{1}\,x)^{d_{1}}\,\,d_{2}^{d_{2}}}{(d_{1}\,x+d_{2})^{d_{1}+d_{2}}}}}{x\,\mathrm {B} \!\left({\frac {d_{1}}{2}},{\frac {d_{2}}{2}}\right)}}\!}](//wikimedia.org/api/rest_v1/media/math/render/svg/65803c3bdaed5d4c035f6366343875341620b203) |
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CDF | ![{\displaystyle I_{\frac {d_{1}x}{d_{1}x+d_{2}}}(d_{1}/2,d_{2}/2)\!}](//wikimedia.org/api/rest_v1/media/math/render/svg/c9648f4a7a83c643cf3981d807bdfe317f23ec3c) |
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Mean | untuk ![{\displaystyle d_{2}>2}](//wikimedia.org/api/rest_v1/media/math/render/svg/f8becc7f9a26666a2faee158c209dba7b42c4b66) |
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Modus | for ![{\displaystyle d_{1}>2}](//wikimedia.org/api/rest_v1/media/math/render/svg/e308c920cd72c86c6a1a8f84b0eadc3a807a711f) |
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Unknown type | for ![{\displaystyle d_{2}>4}](//wikimedia.org/api/rest_v1/media/math/render/svg/1102915ed0508d2dc5afe5bd440e7dfad0249887) |
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Skewness | ![{\displaystyle {\frac {(2d_{1}+d_{2}-2){\sqrt {8(d_{2}-4)}}}{(d_{2}-6){\sqrt {d_{1}(d_{1}+d_{2}-2)}}}}\!}](//wikimedia.org/api/rest_v1/media/math/render/svg/ac47c2f77fbcda51696e9f0819ff405c7f4c5b47) untuk ![{\displaystyle d_{2}>6}](//wikimedia.org/api/rest_v1/media/math/render/svg/4cde6f4f94cb60b4cc472d49a8f614fe723590be) |
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Ex. kurtosis | lihat teks |
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MGF | tidak ada, momen mentah tidak terdefinisi[1][2] |
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CF | lihat teks |
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Tutup
Johnson, Norman Lloyd (1995). Continuous Univariate Distributions, Volume 2 (Second Edition, Section 27). Wiley. ISBN 0-471-58494-0. Abramowitz, Milton; Stegun, Irene Ann, ed. (1983). "Chapter 26". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. 55 (edisi ke-Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. hlm. 946. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253. Mood, Alexander (1974). Introduction to the Theory of Statistics (Third Edition, p. 246-249). McGraw-Hill. ISBN 0-07-042864-6.