{"id":457,"date":"2023-07-29T20:24:26","date_gmt":"2023-07-29T20:24:26","guid":{"rendered":"https:\/\/statorials.org\/ko\/dnorm-pnorm-rnorm-qnorm-in-r\/"},"modified":"2023-07-29T20:24:26","modified_gmt":"2023-07-29T20:24:26","slug":"dnorm-pnorm-rnorm-qnorm-in-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ko\/dnorm-pnorm-rnorm-qnorm-in-r\/","title":{"rendered":"R\uc758 dnorm, pnorm, qnorm \ubc0f rnorm\uc5d0 \ub300\ud55c \uc548\ub0b4"},"content":{"rendered":"

<\/p>\n

\n

\uc815\uaddc\ubd84\ud3ec\ub294 \ud1b5\uacc4\ud559\uc5d0\uc11c \uac00\uc7a5 \ud754\ud788 \uc0ac\uc6a9\ub418\ub294 \ubd84\ud3ec\uc774\ub2e4. \uc774 \ud29c\ud1a0\ub9ac\uc5bc\uc5d0\uc11c\ub294 dnorm<\/strong> , pnorm<\/strong> , rnorm<\/strong> \ubc0f qnorm<\/strong> \ud568\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec R\uc5d0\uc11c \uc815\uaddc \ubd84\ud3ec\ub97c \uc0ac\uc6a9\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4.<\/span><\/p>\n

\ub054\ucc0d\ud55c<\/span><\/strong><\/h2>\n

dnorm<\/strong> \ud568\uc218\ub294 \uc784\uc758 \ubcc0\uc218 x<\/em> , \ubaa8\uc9d1\ub2e8 \ud3c9\uade0 \u03bc<\/em> \ubc0f \ubaa8\uc9d1\ub2e8 \ud45c\uc900 \ud3b8\ucc28 \u03c3 \uac00<\/em> \uc8fc\uc5b4\uc9c0\uba74 \uc815\uaddc \ubd84\ud3ec\uc758 \ud655\ub960 \ubc00\ub3c4 \ud568\uc218(pdf) \uac12\uc744 \ubc18\ud658\ud569\ub2c8\ub2e4. dnorm\uc744 \uc0ac\uc6a9\ud558\ub294 \uad6c\ubb38\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n

dnorm(x, \ud3c9\uade0, sd)<\/span><\/strong><\/p>\n

\ub2e4\uc74c \ucf54\ub4dc\ub294 \uc791\ub3d9 \uc911\uc778 dnorm<\/strong> \uc758 \uba87 \uac00\uc9c0 \uc608\ub97c \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/span><\/p>\n

 #find the value of the standard normal distribution pdf at x=0<\/span>\ndnorm(x=0, mean=0, sd=1)\n#[1]0.3989423\n\n#by default, R uses mean=0 and sd=1<\/span>\ndnorm(x=0)\n#[1]0.3989423\n\n#find the value of the normal distribution pdf at x=10 with mean=20 and sd=5\ndnorm(x=10, mean=20, sd=5)<\/span>\n#[1]0.01079819<\/span><\/span>\n<\/strong><\/pre>\n
 \uc77c\ubc18\uc801\uc73c\ub85c \uc815\uaddc \ubd84\ud3ec\ub97c \uc0ac\uc6a9\ud558\uc5ec \ud655\ub960\uc5d0 \ub300\ud55c \uc9c8\ubb38\uc744 \ud480 \ub54c dnorm<\/strong> \ub300\uc2e0 pnorm \uc744<\/strong> \uc0ac\uc6a9\ud558\ub294 \uacbd\uc6b0\uac00 \ub9ce\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\ub098 dnorm<\/strong> \uc758 \uc720\uc6a9\ud55c \uc801\uc6a9\uc740 R\uc5d0\uc11c \uc815\uaddc \ubd84\ud3ec \ub3c4\ud45c\ub97c \ub9cc\ub4dc\ub294 \uac83\uc785\ub2c8\ub2e4. \ub2e4\uc74c \ucf54\ub4dc\ub294 \uc774\ub97c \uc218\ud589\ud558\ub294 \ubc29\ubc95\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/span><\/p>\n
 #Create a sequence of 100 equally spaced numbers between -4 and 4<\/span>\nx <- seq(-4, 4, length=100)\n\n#create a vector of values that shows the height of the probability distribution<\/span>\n#for each value in x<\/span>\ny <- dnorm(x)\n\n#plot x and y as a scatterplot with connected lines (type = \"l\") and add<\/span>\n#an x-axis with custom labels<\/span>\nplot(x,y, type = \"l\", lwd = 2, axes = FALSE, xlab = \"\", ylab = \"\")\naxis(1, at = -3:3, labels = c(\"-3s\", \"-2s\", \"-1s\", \"mean\", \"1s\", \"2s\", \"3s\"))<\/strong><\/pre>\n
 \uadf8\ub7ec\uba74 \ub2e4\uc74c \ud50c\ub86f\uc774 \uc0dd\uc131\ub429\ub2c8\ub2e4.<\/span><\/p>\n
 pnorm<\/span><\/strong><\/h2>\n
 pnorm<\/strong> \ud568\uc218\ub294 \uc784\uc758 \ubcc0\uc218 q<\/em> , \ubaa8\uc9d1\ub2e8 \ud3c9\uade0 \u03bc<\/em> \ubc0f \ubaa8\uc9d1\ub2e8 \ud45c\uc900 \ud3b8\ucc28 \u03c3 \uac00<\/em> \uc8fc\uc5b4\uc9c0\uba74 \uc815\uaddc \ubd84\ud3ec\uc758 \ub204\uc801 \ubc00\ub3c4 \ud568\uc218(cdf) \uac12\uc744 \ubc18\ud658\ud569\ub2c8\ub2e4. pnorm\uc744 \uc0ac\uc6a9\ud558\ub294 \uad6c\ubb38\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n
 pnorm(q, \ud3c9\uade0, sd)<\/span><\/strong><\/p>\n
 \uac04\ub2e8\ud788 \ub9d0\ud574\uc11c, pnorm\uc740<\/strong> \uc815\uaddc \ubd84\ud3ec\uc5d0\uc11c \uc8fc\uc5b4\uc9c4 \uac12 x<\/em> \uc758 \uc67c\ucabd\uc5d0 \uc788\ub294 \uba74\uc801\uc744 \ubc18\ud658\ud569\ub2c8\ub2e4. \uc8fc\uc5b4\uc9c4 q<\/em> \uac12\uc758 \uc624\ub978\ucabd \uc601\uc5ed\uc5d0 \uad00\uc2ec\uc774 \uc788\ub294 \uacbd\uc6b0 lower.tail = FALSE<\/strong> \uc778\uc218\ub97c \ucd94\uac00\ud558\uba74 \ub429\ub2c8\ub2e4.<\/span><\/p>\n
 pnorm(q, \ud3c9\uade0, sd, lower.tail = FALSE)<\/span><\/strong><\/p>\n
 \ub2e4\uc74c \uc608\uc5d0\uc11c\ub294 pnorm\uc744 \uc0ac\uc6a9\ud558\uc5ec \uba87 \uac00\uc9c0 \ud655\ub960 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/span><\/p>\n
 \uc608 1:<\/strong> \ud2b9\uc815 \ud559\uad50\uc5d0 \ub2e4\ub2c8\ub294 \ub0a8\uc790\uc758 \ud0a4\uac00 \ud3c9\uade0 \u03bc<\/span> = 70\uc778\uce58,<\/span><\/span><\/span><\/span><\/span> \ud45c\uc900 \ud3b8\ucc28 \u03c3 = 2\uc778\uce58\ub85c \uc815\uaddc \ubd84\ud3ec\ub97c \ub530\ub978\ub2e4\uace0 \uac00\uc815\ud569\ub2c8\ub2e4.<\/span><\/span><\/span><\/span><\/span><\/em> \uc774 \ud559\uad50\uc5d0 \ub2e4\ub2c8\ub294 \ub0a8\uc131 \uc911 \ud0a4\uac00 74\uc778\uce58\ub97c \ub118\ub294 \ube44\uc728\uc740 \ub300\ub7b5 \uba87 \ud37c\uc13c\ud2b8\uc785\ub2c8\uae4c?<\/span><\/span><\/span><\/span><\/span><\/em><\/span><\/p>\n
 #find percentage of males that are taller than 74 inches in a population with<\/span>\n#mean = 70 and sd = 2<\/span>\npnorm(74, mean=70, sd=2, lower.tail=FALSE)\n\n# [1]0.02275013<\/span><\/span><\/strong><\/pre>\n
 \uc774 \ud559\uad50\uc758 \ub0a8\uc131 \uc911 2,275%\uac00 \ud0a4\uac00 74\uc778\uce58 \uc774\uc0c1\uc785\ub2c8\ub2e4.<\/span><\/p>\n
 \uc608 2:<\/strong> \ud2b9\uc815 \uc218\ub2ec \uc885\uc758 \ubb34\uac8c\uac00 \ud3c9\uade0 \u03bc<\/span> = 30 lb,<\/span><\/span><\/span><\/span><\/span> \ud45c\uc900 \ud3b8\ucc28 \u03c3 = 5 lb<\/span><\/span><\/span><\/span><\/span> \ub85c \uc815\uaddc \ubd84\ud3ec\ub97c \ub530\ub978\ub2e4\uace0 \uac00\uc815\ud569\ub2c8\ub2e4. \uc774 \uc218\ub2ec \uc885 \uc911 \ubb34\uac8c\uac00 22\ud30c\uc6b4\ub4dc \ubbf8\ub9cc\uc778 \ube44\uc728\uc740 \ub300\ub7b5 \uba87 \ud37c\uc13c\ud2b8\uc785\ub2c8\uae4c?<\/span><\/span><\/span><\/span><\/span><\/em><\/span><\/p>\n
 #find percentage of otters that weight less than 22 lbs in a population with<\/span>\n#mean = 30 and sd = 5<\/span>\npnorm(22, mean=30, sd=5)\n\n# [1]0.05479929<\/span><\/span><\/strong><\/pre>\n
 \uc774 \uc218\ub2ec \uc885\uc758 \uc57d 5.4799%\ub294 \ubb34\uac8c\uac00 22\ud30c\uc6b4\ub4dc \ubbf8\ub9cc\uc785\ub2c8\ub2e4.<\/span><\/p>\n
 \uc608 3:<\/strong> \ud2b9\uc815 \uc9c0\uc5ed\uc758 \uc2dd\ubb3c \ud0a4\uac00 \ud3c9\uade0 \u03bc<\/span> = 13\uc778\uce58,<\/span><\/span><\/span><\/span><\/span> \ud45c\uc900 \ud3b8\ucc28 \u03c3 = 2\uc778\uce58\ub85c \uc815\uaddc \ubd84\ud3ec\ub97c \ub530\ub978\ub2e4\uace0 \uac00\uc815\ud569\ub2c8\ub2e4. \uc774 \uc9c0\uc5ed\uc5d0\uc11c \ud0a4\uac00 10~14\uc778\uce58 \uc0ac\uc774\uc778 \uc2dd\ubb3c\uc758 \ube44\uc728\uc740 \ub300\ub7b5 \uba87 \ud37c\uc13c\ud2b8\uc785\ub2c8\uae4c?<\/span><\/span><\/span><\/span><\/span><\/em><\/span><\/p>\n
 #find percentage of plants that are less than 14 inches tall, then subtract the\n#percentage of plants that are less than 10 inches tall, based on a population\n#with mean = 13 and sd = 2<\/span>\npnorm(14, mean=13, sd=2) - pnorm(10, mean=13, sd=2)\n\n# [1]0.6246553<\/span><\/span><\/strong><\/pre>\n
 \uc774 \uc9c0\uc5ed \uc2dd\ubb3c\uc758 \uc57d 62.4655%\ub294 \ud0a4\uac00 10~14\uc778\uce58 \uc0ac\uc774\uc785\ub2c8\ub2e4.<\/span><\/p>\n
 qnorm<\/span><\/strong><\/h2>\n
 qnorm<\/strong> \ud568\uc218\ub294 \uc784\uc758 \ubcc0\uc218 p<\/em> , \ubaa8\uc9d1\ub2e8 \ud3c9\uade0 \u03bc<\/em> \ubc0f \ubaa8\uc9d1\ub2e8 \ud45c\uc900 \ud3b8\ucc28 \u03c3 \uac00<\/em> \uc8fc\uc5b4\uc9c0\uba74 \uc815\uaddc \ubd84\ud3ec\uc758 \uc5ed \ub204\uc801 \ubc00\ub3c4 \ud568\uc218(cdf) \uac12\uc744 \ubc18\ud658\ud569\ub2c8\ub2e4. qnorm\uc744 \uc0ac\uc6a9\ud558\ub294 \uad6c\ubb38\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n
 qnorm(p, \ud3c9\uade0, sd)<\/span><\/strong><\/p>\n
 \uac04\ub2e8\ud788 \ub9d0\ud574\uc11c qnorm\uc744<\/strong> \uc0ac\uc6a9\ud558\uba74 \uc815\uaddc \ubd84\ud3ec\uc758 p\ubc88\uc9f8<\/sup> \ubd84\uc704\uc218\uc758 Z \uc810\uc218\uac00 \ubb34\uc5c7\uc778\uc9c0 \uc54c\uc544\ub0bc \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n
 \ub2e4\uc74c \ucf54\ub4dc\ub294 \uc2e4\uc81c qnorm<\/strong> \uc758 \uba87 \uac00\uc9c0 \uc608\ub97c \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/span><\/p>\n
 #find the Z-score of the 99th quantile of the standard normal distribution<\/span> \nqnorm(.99, mean=0, sd=1)\n#[1]2.326348\n\n#by default, R uses mean=0 and sd=1\nqnorm(.99)<\/span>\n#[1]2.326348\n\n#find the Z-score of the 95th quantile of the standard normal distribution<\/span>\nqnorm(.95)\n#[1]1.644854\n\n#find the Z-score of the 10th quantile of the standard normal distribution<\/span>\nqnorm(.10)\n#[1]-1.281552<\/span>\n<\/span><\/strong><\/pre>\n
 \ud45c\uc900<\/span><\/strong><\/h2>\n
 rnorm<\/strong> \ud568\uc218\ub294 \ubca1\ud130 \uae38\uc774 n<\/em> , \ubaa8\uc9d1\ub2e8 \ud3c9\uade0 \u03bc<\/em> , \ubaa8\uc9d1\ub2e8 \ud45c\uc900\ud3b8\ucc28 \u03c3<\/em> \uac00 \uc8fc\uc5b4\uc9c0\uba74 \uc815\uaddc \ubd84\ud3ec \ud655\ub960 \ubcc0\uc218\uc758 \ubca1\ud130\ub97c \uc0dd\uc131\ud569\ub2c8\ub2e4. rnorm\uc744 \uc0ac\uc6a9\ud558\ub294 \uad6c\ubb38\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n
 rnorm(n, \ud3c9\uade0, sd)<\/span><\/strong><\/p>\n
 \ub2e4\uc74c \ucf54\ub4dc\ub294 \uc2e4\ud589 \uc911\uc778 rnorm<\/strong> \uc758 \uba87 \uac00\uc9c0 \uc608\ub97c \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/span><\/p>\n
 #generate a vector of 5 normally distributed random variables with mean=10 and sd=2<\/span>\nfive <- rnorm(5, mean = 10, sd = 2)\nfive\n# [1] 10.658117 8.613495 10.561760 11.123492 10.802768\n\n#generate a vector of 1000 normally distributed random variables with mean=50 and sd=5\n<\/span>narrowDistribution <- rnorm(1000, mean = 50, sd = 15)\n\n<\/span>#generate a vector of 1000 normally distributed random variables with mean=50 and sd=25<\/span>\nwideDistribution <- rnorm(1000, mean = 50, sd = 25)\n\n<\/span>#generate two histograms to view these two distributions side by side, specify\n#50 bars in histogram and x-axis limits of -50 to 150\npar(mfrow=c(1, 2)) #one row, two columns<\/span>\nhist(narrowDistribution, breaks=50, xlim=c(-50, 150))<\/span>\nhist(wideDistribution, breaks=50, xlim=c(-50, 150))<\/span>\n<\/span><\/span><\/span><\/strong><\/pre>\n
 \uadf8\ub7ec\uba74 \ub2e4\uc74c\uacfc \uac19\uc740 \ud788\uc2a4\ud1a0\uadf8\ub7a8\uc774 \uc0dd\uc131\ub429\ub2c8\ub2e4.<\/span><\/p>\n
 \ub113\uc740 \ubd84\ud3ec\uac00 \uc881\uc740 \ubd84\ud3ec\ubcf4\ub2e4 \uc5bc\ub9c8\ub098 \ub113\uc740\uc9c0 \ud655\uc778\ud558\uc138\uc694. \uc2e4\uc81c\ub85c \uc6b0\ub9ac\ub294 \uc881\uc740 \ubd84\ud3ec\uc758 \ud45c\uc900\ud3b8\ucc28\uac00 15\uc778 \uac83\uc5d0 \ube44\ud574 \ub113\uc740 \ubd84\ud3ec\uc758 \ud45c\uc900\ud3b8\ucc28\ub294 25\ub77c\uace0 \uc9c0\uc815\ud588\uc2b5\ub2c8\ub2e4. \ub610\ud55c \ub450 \ud788\uc2a4\ud1a0\uadf8\ub7a8 \ubaa8\ub450 \ud3c9\uade0 50\uc744 \uc911\uc2ec\uc73c\ub85c \ud45c\uc2dc\ub429\ub2c8\ub2e4.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
\uc815\uaddc\ubd84\ud3ec\ub294 \ud1b5\uacc4\ud559\uc5d0\uc11c \uac00\uc7a5 \ud754\ud788 \uc0ac\uc6a9\ub418\ub294 \ubd84\ud3ec\uc774\ub2e4. \uc774 \ud29c\ud1a0\ub9ac\uc5bc\uc5d0\uc11c\ub294 dnorm , pnorm , rnorm \ubc0f qnorm \ud568\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec R\uc5d0\uc11c \uc815\uaddc \ubd84\ud3ec\ub97c \uc0ac\uc6a9\ud558\ub294 \ubc29\ubc95\uc744 \uc124\uba85\ud569\ub2c8\ub2e4. \ub054\ucc0d\ud55c dnorm \ud568\uc218\ub294 \uc784\uc758 \ubcc0\uc218 x , \ubaa8\uc9d1\ub2e8 \ud3c9\uade0 \u03bc \ubc0f \ubaa8\uc9d1\ub2e8 \ud45c\uc900 \ud3b8\ucc28 \u03c3 \uac00 \uc8fc\uc5b4\uc9c0\uba74 \uc815\uaddc \ubd84\ud3ec\uc758 \ud655\ub960 \ubc00\ub3c4 \ud568\uc218(pdf) \uac12\uc744 \ubc18\ud658\ud569\ub2c8\ub2e4. dnorm\uc744 \uc0ac\uc6a9\ud558\ub294 \uad6c\ubb38\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. dnorm(x, \ud3c9\uade0, sd) […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-457","post","type-post","status-publish","format-standard","hentry","category-20"],"yoast_head":"\nR\uc758 dnorm, pnorm, qnorm \ubc0f rnorm\uc5d0 \ub300\ud55c \uac00\uc774\ub4dc - 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