http://www.commres.net/ 2026-04-17T11:08:10+00:00 http://www.commres.net/ http://www.commres.net/_media/wiki/logo.png text/html 2019-12-11T03:01:27+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/2019?rev=1576033287&do=diff Probability and Statistics 1-1, 2019 Syllabus * ajou bb: <http://eclass2.ajou.ac.kr> or via <http://portal.ajou.ac.kr> * wiki site: this site <http://commres.net/> * Instructor: 김효동 (1858) * email: hkimscil at ajou dot ac dot kr * Time: 월C(산B103) 수C(산B103)(산B103) * Phone: 1858 * TA: 개요 text/html 2020-09-01T23:46:08+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/2020?rev=1599003968&do=diff Probability and Statistics 1-1, 2020 Syllabus * ajou bb: MATH251_ 확률 및 통계1(M001-1) at abb * wiki site: this site <http://commres.net/wiki/c/ps1-1/2020> * Instructor: 김효동 (1858) * email: hkimscil at ajou dot ac dot kr * Time: 월A(산B103) 수A(산B103) * Phone: 1858 * TA: 공현식 * email: overholic10 at ajou dot ac dot kr text/html 2021-08-31T02:42:08+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/2021?rev=1630377728&do=diff Probability and Statistics 1-1, 2021 Syllabus * ajou bb: MATH251_ 확률 및 통계1(M001-1) at abb * wiki site: this site <http://commres.net/wiki/c/ps1-1/2020> * Instructor: 김효동 (1858) * email: hkimscil at ajou dot ac dot kr * Time: 월A(산B103) 수A(산B103) * Phone: 1858 * TA: * email: 개요 text/html 2022-09-07T01:46:03+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/2022?rev=1662515163&do=diff Probability and Statistics 1-1, 2022 Syllabus * ajou bb: MATH251_ 확률 및 통계1(M001-1) at abb * wiki site: this site <http://commres.net/wiki/c/ps1-1/2022> * Instructor: 김효동 (1858) * email: hkimscil at ajou dot ac dot kr * Time: 월A(산B103) 수A(산B103) * Phone: 1858 * TA: * email: 개요 text/html 2023-12-19T22:26:25+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/2023?rev=1703024785&do=diff Probability and Statistics 1-1, 2023 lecturer's note Syllabus * ajou bb: MATH251_ 확률 및 통계1(M001-1) at abb * wiki site: this site <http://commres.net/wiki/c/ps1-1/2023> * Instructor: 김효동 (1858) * email: hkimscil at ajou dot ac dot kr * Time: 월A(산B103) 수A(산B103) * Phone: 1858 * TA: * email: 개요 text/html 2024-10-01T12:20:01+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/2024?rev=1727785201&do=diff Probability and Statistics 1-1, 2024 lecturer's note Syllabus * ajou bb: MATH251_ 확률 및 통계1(M001-1) at abb * wiki site: this site <http://commres.net/wiki/c/ps1-1/2024> * Instructor: 김효동 (1858) * email: hkimscil at ajou dot ac dot kr * Time: 월A(산B103) 수A(산B103) * Phone: 1858 * TA: * email: 개요 text/html 2024-11-19T23:18:13+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/ci_note?rev=1732058293&do=diff rnorm2 <- function(n,mean,sd) { mean + sd * scale(rnorm(n)) } p1 <- rnorm2 (100000000, mean=70, sd=10) set.seed(101) s.size <- 16 s1 <- sample(p1, s.size, replace=T) s1 m.s1 <- mean(s1) sd.s1 <- sd(s1) m.s1 sd.s1 se <- sd.s1/sqrt(s.size) se2 <- 2*se se3 <- 2*se m.s1 - se2 m.s1 + se2 # or c2 <- qnorm(.975) c3 <- qnorm(.995) c2 c3 se2 <- c2*se se3 <- c3*se m.s1 - se2 m.s1 + se2 text/html 2024-10-08T06:17:10+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/exercises?rev=1728368230&do=diff Q. 하나의 사면체를 두 번 연속해서 던진다고 하자. 첫 번째 번호와 두 번째 번호가 같을 확률은 무엇인가? 사면체는 주사위와 같지만 1, 2, 3, 4가 아웃풋으로 나올 수 있는 물체를 의미한다. text/html 2024-12-08T23:35:23+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/note_on_statistical_test?rev=1733700923&do=diff Types of Variables * Independent Variable (IV, 독립변인): 영향을 주는 변인 * Dependent Variable (DV, 종속변인): 독립변인의 영향을 받는 변인 Level of (Variable) Measurement * Level of Measurement 측정수준 * 종류 (N): 성별 (gendent, (M, F)) * 순서 (O): 달리기 등수 (1,2,3등)\begin{align} \sigma^2 = \frac {SS}{df} \end{align}$\sigma^2 = $$ \overline{X} $$ \mu $$ \overline{X} $$\mu - \overline{X} $$se $$\mu = 50; \sigma^2=100 $$\overline{X}_{(n=100)} = 54 $$se = \sqrt{\frac{\sigma^2} {n}} = \sqrt{\frac{100} {100}} = 1$$z = (54-5… text/html 2024-12-11T00:01:40+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/note_on_statistical_test_2?rev=1733875300&do=diff The meaning of statistical testing difference / random error ## ## t-test 이해 확인 ## remember t test = diff / rand error ## # iter <- 100000 # # of sampling set.seed(201) n <- 25 means <- rep (NA, iter) for(i in 1:iter){ means[i] = mean(rnorm(n, mean=100, sd=10)) } # from data mean(means) sd(means) # from CLT m.means <- 100 sd.means <- 10/sqrt(n) m.means sd.means # sample n의 평균과 표준편차가 정확히 # mean, sd값을 갖도록 하는 변형된 펑션 rnorm2 <- function(n, mean, sd) { mean + sd * scale(rnorm(n)) } … text/html 2025-09-16T22:56:01+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/pqrnorm_function_in_r?rev=1758063361&do=diff dnorm pnorm qnorm rnorm text/html 2024-10-22T05:17:16+00:00 Anonymous (anonymous@undisclosed.example.com) http://www.commres.net/c/ps1-1/q02_exercise?rev=1729574236&do=diff Y P(Y=y) 0 1/6 1 1/2 2 36/120 3 1/30 total Q. 집합 Y의 기대값을 구하시오. > y <- c(0,1,2,3) > py <- c(1/6,1/2,36/120,1/30) > y*py [1] 0.0 0.5 0.6 0.1 > exp <- sum(y*py) > exp [1] 1.2 > Q. 집합 Y의 분산값을 구하시오\begin{eqnarray*} \sum_{k=0}^{n-1}(ar^{k}) & = & a + ar + ar^2 + ar^3 + . . . + ar^{(n-2)} + ar^{(n-1)} \\ \end{eqnarray*}\begin{eqnarray*} \sum_{n=0}^{\infty}(ar^n) & = & a \cdot \left(\frac{1}{1-r}\right) \\ & & \text{when } \\ & & n \rightarrow \infty, \;\; |r| < 1, \;\; …