From 45390c180be9a304c7a79cdba29d5b2edfb286d0 Mon Sep 17 00:00:00 2001 From: Jakub Adamski Date: Sun, 30 May 2021 12:48:38 +0200 Subject: [PATCH] zajecia7 --- zajecia6/README.md | 2 + zajecia7/.RData | Bin 0 -> 3089 bytes zajecia7/.Rhistory | 84 ++++++++++++++++++++++++++++++++++++++ zajecia7/README.md | 48 ++++++++++++++++++++++ zajecia7/Zajęcia7.pdf | Bin 0 -> 2364749 bytes zajecia7/zadania.R | 87 ++++++++++++++++++++++++++++++++++++++++ zajecia7/zajecia7.Rproj | 13 ++++++ 7 files changed, 234 insertions(+) create mode 100644 zajecia7/.RData create mode 100644 zajecia7/.Rhistory create mode 100644 zajecia7/README.md create mode 100644 zajecia7/Zajęcia7.pdf create mode 100644 zajecia7/zadania.R create mode 100644 zajecia7/zajecia7.Rproj diff --git a/zajecia6/README.md b/zajecia6/README.md index d6d7519..7235cbb 100644 --- a/zajecia6/README.md +++ b/zajecia6/README.md @@ -34,6 +34,8 @@ Hipotezy: - H1 : Próba nie pochodzi z populacji o rozkładzie normalnym. +Hipoteza zerowa tego testu mówi nam o tym, że nasza próba badawcza pochodzi z populacji o normalnym rozkładzie. Jeśli test Shapiro-Wilka osiąga istotność statystyczną (p < 0,05), świadczy to o rozkładzie oddalonym od krzywej Gaussa. W przypadku tego testu najczęściej chcemy otrzymać wartości nieistotne statystyczne (p > 0,05), ponieważ świadczą one o zgodności rozkładu zmiennej z rozkładem normalnym. + # Var.test diff --git a/zajecia7/.RData b/zajecia7/.RData new file mode 100644 index 0000000000000000000000000000000000000000..7df871419fac3a14711b7ec996fc202ba71aa3da GIT binary patch literal 3089 zcmV+s4DRzEiwFP!000001MOQ2bQ4t?o-|3*CJjv=usjOvD!U>`u}KO=t22lX5YB3O zY*`oS4#~6(TydN7k;v>9#YDBHCS6WEMJ- z0lFcLqLvy|aOO|_b`|va<+~k{QpUKvK2PaP+YB0aJeXzzq+tB)jvHS*_EwYnTJ5$VfJdC|a zP$lasQ50*Y(Ow49j1nDKR6C?8o9kwCJ7>{0UlHr_d70UuROeT;V1zA*#-gUi$fsq{ z^llHTgYwwO_`*?t9!U>-h|2%A;PvMwd#K#)V+Tzdb%0WDW-omA-7>zHVWd&l+>hKf zzwosa6aI^kYrpNy`3-~i@Vbl>_p#mS0R5Z(ld>N=Nf9qJPnv$*g!1Ipe)`RQp4DM` z)A4&ZOZu(%yFA?&o<*A#hZf)k826=ZMas7qLdTi_Sd(*S2r0urU$^lcj z_GKeZo_S+5`T9TUmirgJKoNk>XRQD26L&Q=@VbXrH9G&MUT8zLALfToO$~Eqlh1sQ!0p=3zmI)>8YjM zxyl4??b}xJa_JRn>fQAS5uMjRpelO*%ifgs&Gzb{eZNv7=1aS!;?=Kb8-t8Yv=H;n 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b/zajecia7/.Rhistory @@ -0,0 +1,84 @@ +dane <- read.table("http://ls.home.amu.edu.pl/data_sets/kontekst.txt") +View(dane) +colnames(dane) <- c("number", "context") +dane$context <- as.factor(dane$context) +aggregate(dane$number, list(CONTEXT = dane$context), FUN = mean) +boxplot(number ~ context, data = dane, xlab = "Kontekst", ylab = "Words number") +summary(aov(number ~ context, data = dane)) +rests <- lm(number ~ context, data = dane)$residuals +shapiro.test(rests)$p.value +qqnorm(rests) +qqline(rests) +bartlett.test(number ~ context, data = dane)$p.value +fligner.test(number ~ context, data = dane)$p.value +library(car) +leveneTest(number ~ context, data = dane)[[3]][1] +leveneTest(number ~ context, data = dane, center = "mean")[[3]][1] +attach(dane) +pairwise.t.test(number, context, data = dane) +boxplot(number ~ context, data = dane, xlab = "Kontekst", ylab = "Words number") +model_aov <- aov(number ~ context, data = dane) +TukeyHSD(model_aov)$context +plot(TukeyHSD(model_aov)) +library(agricolae) +install.packages("agricolae") +library(agricolae) +HSD.test(model_aov, "context", console = TRUE) +SNK.test(model_aov, "context", console = TRUE) +LSD.test(model_aov, "context", p.adj = "holm", console = TRUE) +scheffe.test(model_aov, "context", console = TRUE) +C1 <- c(-3, 2, 2, -3, 2) +C2 <- c(0, -1, -1, 0, 2) +C3 <- c(0, 1, -1, 0, 0) +C4 <- c(1, 0, 0, -1, 0) +con <- cbind(C1, C2, C3, C4) +contrasts(dane$context) <- con +model_aov_2 <- aov(number ~ context, data = dane) +summary(model_aov_2, split = list(context = list('C1' = 1, 'C2' = 2, 'C3' = 3, 'C4' = 4))) +dane <- read.table("http://ls.home.amu.edu.pl/data_sets/eysenck.txt") +dane <- read.table("http://ls.home.amu.edu.pl/data_sets/eysenck.txt") +View(dane) +colnames(dane) <- c("result", "instruction") +dane <- read.table("http://ls.home.amu.edu.pl/data_sets/Eysenck.txt", header = TRUE) +dane$Nr <- NULL +dane$context <- as.factor(dane$context) +dane$Instrukcja <- as.factor(dane$Instrukcja) +aggregate(dane$Wynik, list(CONTEXT = dane$Instrukcja), FUN = mean) +boxplot(number ~ context, data = dane, xlab = "Instrukcja", ylab = "Wynik") +boxplot(Wynik ~ Instrukcja, data = dane, xlab = "Instrukcja", ylab = "Wynik") +summary(aov(Wynik ~ Instrukcja, data = dane)) +rests <- lm(Wynik ~ Instrukcja, data = dane)$residuals +shapiro.test(rests)$p.value +qqnorm(rests) +qqline(rests) +bartlett.test(Wynik ~ Instrukcja, data = dane)$p.value +fligner.test(Wynik ~ Instrukcja, data = dane)$p.value +leveneTest(Wynik ~ Instrukcja, data = dane)[[3]][1] +leveneTest(Wynik ~ Instrukcja, data = dane, center = "mean")[[3]][1] +attach(dane) +pairwise.t.test(Wynik, Instrukcja, data = dane) +model_aov <- aov(Wynik ~ Instrukcja, data = dane) +TukeyHSD(model_aov)$Instrukcja +plot(TukeyHSD(model_aov)) +HSD.test(model_aov, "Instrukcja", console = TRUE) +SNK.test(model_aov, "Instrukcja", console = TRUE) +LSD.test(model_aov, "Instrukcja", p.adj = "holm", console = TRUE) +scheffe.test(model_aov, "Instrukcja", console = TRUE) +C1 <- c(0, 1, -1, 1, -1) +C2 <- c(4, -1, -1, -1, -1) +C3 <- c(0, 1, 0, -1, 0) +C4 <- c(0, 0, -1, 0, 1) +con <- cbind(C1, C2, C3, C4) +contrasts(dane$Instrukcja) <- con +View(con) +model_aov_2 <- aov(Wynik ~ Instrukcja, data = dane) +View(model_aov_2) +summary(model_aov_2, split = list(Instrukcja = list('C1' = 1, 'C2' = 2, 'C3' = 3, 'C4' = 4))) +boxplot(Wynik ~ Instrukcja, data = dane, xlab = "Instrukcja", ylab = "Wynik") +contrasts(dane$Instrukcja) <- con +c <- contrasts(dane$Instrukcja) <- con +View(c) +View(dane) +contrasts(dane$Instrukcja) <- con +contrasts(dane$Instrukcja) +View(dane) diff --git a/zajecia7/README.md b/zajecia7/README.md new file mode 100644 index 0000000..66adb17 --- /dev/null +++ b/zajecia7/README.md @@ -0,0 +1,48 @@ +# Zajęcia 7 + + + +## Notatki +- Dużo jest tych funkcji gotowych/wbudowanych - mogą być ważne na egzamin? + +- Ortogonalny - prostopadły + + + +## Analiza wariancji +Została użyta aby sprawdzić czy wartość danej zmeinnej zależy w stopniu znaczącym od innej zmiennej. + +- fligner.test oraz bartlett.test leveneTest użyte do sprawdzenia czy wariancje dwóch grup są takie same + + + +## Porównanie wyników +- pairwise.t.test - daje wynik w postaci tabeli jak różnią się od siebie wyniki poszczególnych grup + +- TukeyHSD - Create a set of confidence intervals on the differences between the means of the levels of a factor (współczynnik) with the specified family-wise probability of coverage. The intervals are based on the Studentized range statistic, Tukey's ‘Honest Significant Difference’ method. + +- HSD.test - na podstawie testu Tukeya - wynik w postaci grup + +- SNK - SNK is derived from Tukey, but it is less conservative (finds more differences). Tukey controls the error for all comparisons, where SNK only controls for comparisons under consideration. Wynik też w postaci grup + +- LSD - Multiple comparisons, "Least significant difference" and Adjust P-values. Wynik też grupy. + +- Scheffe - method is very general in that all possible contrasts can be tested for significance and confidence intervals can be constructed for the corresponding linear. The test is conservative. Wynik też grupy. + + + +## Jednoczynnikowa analiza wariancji +W jednoczynnikowej analizie wariancji, jak sama nazwa wskazuje, mamy do czynienia tylko z jednym czynnikiem. Chcemy sprawdzić, czy jakiś pojedynczy czynnik ma wpływ na mierzoną zmienną zależną. + + + +## Testy post hoc +Testy post-hoc (po fakcie) wykonuje się jako kolejny krok analizy wariancji. Znane są również pod nazwą porównań wielokrotnych lub porównań parami. Sama analiza wariancji mówi nam o tym czy różnice w porównywanych średnich występują czy nie. Nie wiemy jednak między którymi grupami zachodzą te różnice. Istotny współczynnik F wskazuje jedynie na słuszność (lub brak słuszności) odrzucenia hipotezy zerowej. Jeśli ją odrzucimy musimy dowiedzieć się czy wszystkie średnie różnią się między sobą czy tylko niektóre. Stąd też nazwa “po fakcie” – wykonujemy je dopiero po sprawdzeniu czy wynik F jest istotny statystycznie. Jeśli nie jest, nie musimy wykonywać testów post-hoc. + + + +## Kontrast +By można było zdefiniować wybrane hipotezy należy dla każdej średniej przypisać wartość kontrastu. +Wartości kontrastu są tak wybierane by ich sumy dla porównywanych stron były liczbami przeciwnymi, a ich wartość dla średnich nie biorących udziału w analizie wynosi 0!! + +Wykonując później test ANOVA - analiza wariancji możemy zobaczyć czy porównywane grupy (wyszczególnione za pomocą kontrastów) różnią się od siebie. \ No newline at end of file diff --git a/zajecia7/Zajęcia7.pdf b/zajecia7/Zajęcia7.pdf new file mode 100644 index 0000000000000000000000000000000000000000..f1df8d19218515c44a28fc61fe13115efea92ecf GIT binary patch literal 2364749 zcmV)IK)k;tP((&8F)lX>3N#=vAa7!73OqatFGgu>bY*fNFGg%(bY(NH8Ki5J_>Vma%Ev{3V59Dea({NxX$Iio+8&@gfd8qlBma+)qQ}DnCV5< zjhK1=#n_fa8~{i1pX_v2xmVdJS)wQs#LvM&_#C=$`0pcphM@mw{J)hPKgSe8&L98$ z{`G%<)qlvtXO~WY{T5*iL-!fSaqQy9*RNr0KZibqxbY8io3CI0{`$}VeEj$DkmyDx 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