{"id":4504,"date":"2023-07-10T14:11:32","date_gmt":"2023-07-10T14:11:32","guid":{"rendered":"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/"},"modified":"2023-07-10T14:11:32","modified_gmt":"2023-07-10T14:11:32","slug":"wald-testuje-pythona","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/","title":{"rendered":"Jak wykona\u0107 test walda w pythonie"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Test Walda<\/strong> mo\u017cna zastosowa\u0107 do sprawdzenia, czy jeden lub wi\u0119cej parametr\u00f3w modelu ma okre\u015blone warto\u015bci.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test ten jest cz\u0119sto u\u017cywany do okre\u015blenia, czy jedna lub wi\u0119cej zmiennych predykcyjnych w modelu regresji jest r\u00f3wnych zero.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym te\u015bcie u\u017cywamy nast\u0119puj\u0105cych <a href=\"https:\/\/statorials.org\/pl\/testowanie-hipotez-1\/\" target=\"_blank\" rel=\"noopener\">hipotez<\/a> zerowych i alternatywnych:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : Wszystkie zestawy zmiennych predykcyjnych s\u0105 r\u00f3wne zeru.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : Nie wszystkie zmienne predykcyjne w zestawie s\u0105 r\u00f3wne zeru.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Je\u017celi nie odrzucimy hipotezy zerowej, w\u00f3wczas mo\u017cemy usun\u0105\u0107 z modelu okre\u015blony zestaw zmiennych predykcyjnych, gdy\u017c nie zapewniaj\u0105 one statystycznie istotnej poprawy dopasowania modelu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje, jak wykona\u0107 test Walda w Pythonie<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: test Walda w Pythonie<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">W tym przyk\u0142adzie u\u017cyjemy s\u0142ynnego zbioru danych <strong>mtcars<\/strong> , aby dopasowa\u0107 nast\u0119puj\u0105cy model regresji liniowej wielokrotnej:<\/span><\/p>\n<p> <span style=\"color: #000000;\">mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> dost\u0119pne + \u03b2 <sub>2<\/sub> w\u0119glowodany + \u03b2 <sub>3<\/sub> KM + \u03b2 <sub>4<\/sub> cyl<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak dopasowa\u0107 ten model regresji i wy\u015bwietli\u0107 podsumowanie modelu:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">formula<\/span> . <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> smf\n<span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> io\n\n<span style=\"color: #008080;\">#define dataset as string\n<\/span>mtcars_data=\"\"\"model,mpg,cyl,disp,hp,drat,wt,qsec,vs,am,gear,carb\nMazda RX4,21,6,160,110,3.9,2.62,16.46,0,1,4,4\nMazda RX4 Wag,21.6,160,110,3.9,2.875,17.02,0,1,4,4\nDatsun 710,22.8,4,108,93,3.85,2.32,18.61,1,1,4,1\nHornet 4 Drive,21.4,6,258,110,3.08,3.215,19.44,1,0,3,1\nHornet Sportabout,18.7,8,360,175,3.15,3.44,17.02,0,0,3,2\nValiant,18.1,6,225,105,2.76,3.46,20.22,1,0,3,1\nDuster 360,14.3,8,360,245,3.21,3.57,15.84,0,0,3,4\nMerc 240D,24.4,4,146.7,62,3.69,3.19,20,1,0,4,2\nMerc 230,22.8,4,140.8,95,3.92,3.15,22.9,1,0,4,2\nMerc 280,19.2,6,167.6,123,3.92,3.44,18.3,1,0,4,4\nMerc 280C,17.8,6,167.6,123,3.92,3.44,18.9,1,0,4,4\nMerc 450SE,16.4,8,275.8,180,3.07,4.07,17.4,0,0,3,3\nMerc 450SL,17.3,8,275.8,180,3.07,3.73,17.6,0,0,3,3\nMerc 450SLC,15.2,8,275.8,180,3.07,3.78,18,0,0,3,3\nCadillac Fleetwood,10.4,8,472,205,2.93,5.25,17.98,0,0,3,4\nLincoln Continental,10.4,8,460,215,3,5.424,17.82,0,0,3,4\nChrysler Imperial,14.7,8,440,230,3.23,5.345,17.42,0,0,3,4\nFiat 128,32.4,4,78.7,66,4.08,2.2,19.47,1,1,4,1\nHonda Civic,30.4,4,75.7,52,4.93,1.615,18.52,1,1,4,2\nToyota Corolla,33.9,4,71.1,65,4.22,1.835,19.9,1,1,4,1\nToyota Corona,21.5,4,120.1,97,3.7,2.465,20.01,1,0,3,1\nDodge Challenger,15.5,8,318,150,2.76,3.52,16.87,0,0,3,2\nAMC Javelin,15.2,8,304,150,3.15,3.435,17.3,0,0,3,2\nCamaro Z28,13.3,8,350,245,3.73,3.84,15.41,0,0,3,4\nPontiac Firebird,19.2,8,400,175,3.08,3.845,17.05,0,0,3,2\nFiat X1-9,27.3,4,79,66,4.08,1.935,18.9,1,1,4,1\nPorsche 914-2,26,4,120.3,91,4.43,2.14,16.7,0,1,5,2\nLotus Europa,30.4,4,95.1,113,3.77,1.513,16.9,1,1,5,2\nFord Pantera L,15.8,8,351,264,4.22,3.17,14.5,0,1,5,4\nFerrari Dino,19.7,6,145,175,3.62,2.77,15.5,0,1,5,6\nMaserati Bora,15.8,301,335,3.54,3.57,14.6,0,1,5,8\nVolvo 142E,21.4,4,121,109,4.11,2.78,18.6,1,1,4,2\"\"\"\n\n<span style=\"color: #008080;\">#convert string to DataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">read_csv<\/span> ( <span style=\"color: #3366ff;\">io.StringIO<\/span> (mtcars_data), sep=\" <span style=\"color: #ff0000;\">,<\/span> \")\n\n<span style=\"color: #008080;\">#fit multiple linear regression model\n<\/span>results = smf. <span style=\"color: #3366ff;\">ols<\/span> (' <span style=\"color: #ff0000;\">mpg~disp+carb+hp+cyl<\/span> ',df). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view regression model summary\n<\/span>results. <span style=\"color: #3366ff;\">summary<\/span> ()\n\n\tcoef std err t P&gt;|t| [0.025 0.975]\nIntercept34.0216 2.523 13.482 0.000 28.844 39.199\navailable -0.0269 0.011 -2.379 0.025 -0.050 -0.004\ncarb -0.9269 0.579 -1.601 0.121 -2.115 0.261\nhp 0.0093 0.021 0.452 0.655 -0.033 0.052\ncyl -1.0485 0.784 -1.338 0.192 -2.657 0.560\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie mo\u017cemy u\u017cy\u0107 funkcji <strong>statsmodels<\/strong> <strong>wald_test()<\/strong> do sprawdzenia, czy wsp\u00f3\u0142czynniki regresji dla zmiennych predykcyjnych \u201ehp\u201d i \u201ecyl\u201d s\u0105 r\u00f3wne zero.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak w praktyce wykorzysta\u0107 t\u0119 funkcj\u0119:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Wald Test to determine if 'hp' and 'cyl' coefficients are both zero<\/span>\n<span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">results.wald_test<\/span> (' <span style=\"color: #ff0000;\">(hp=0, cyl=0)<\/span> '))\n\nF test: F=array([[0.91125429]]), p=0.41403001184235005, df_denom=27, df_num=2\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Z wyniku widzimy, \u017ce <a href=\"https:\/\/statorials.org\/pl\/p-oznacza-istotnosc-statystyczna\/\" target=\"_blank\" rel=\"noopener\">warto\u015b\u0107 p<\/a> testu wynosi <strong>0,414<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poniewa\u017c ta warto\u015b\u0107 p jest nie mniejsza ni\u017c 0,05, nie mo\u017cemy odrzuci\u0107 hipotezy zerowej testu Walda.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Oznacza to, \u017ce mo\u017cemy za\u0142o\u017cy\u0107, \u017ce wsp\u00f3\u0142czynniki regresji dla zmiennych predykcyjnych \u201ehp\u201d i \u201ecyl\u201d s\u0105 r\u00f3wne zero.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy usun\u0105\u0107 te terminy z modelu, poniewa\u017c nie poprawiaj\u0105 one statystycznie znacz\u0105co og\u00f3lnego dopasowania modelu.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykonywa\u0107 inne typowe operacje w Pythonie:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pl\/prosta-regresja-liniowa-w-pythonie\/\" target=\"_blank\" rel=\"noopener\">Jak przeprowadzi\u0107 prost\u0105 regresj\u0119 liniow\u0105<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/python-regresji-wielomianowej\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 regresj\u0119 wielomianow\u0105 w Pythonie<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/jak-obliczyc-vive-w-pythonie\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 VIF w Pythonie<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Test Walda mo\u017cna zastosowa\u0107 do sprawdzenia, czy jeden lub wi\u0119cej parametr\u00f3w modelu ma okre\u015blone warto\u015bci. Test ten jest cz\u0119sto u\u017cywany do okre\u015blenia, czy jedna lub wi\u0119cej zmiennych predykcyjnych w modelu regresji jest r\u00f3wnych zero. W tym te\u015bcie u\u017cywamy nast\u0119puj\u0105cych hipotez zerowych i alternatywnych: H 0 : Wszystkie zestawy zmiennych predykcyjnych s\u0105 r\u00f3wne zeru. H A [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-4504","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak wykona\u0107 test Walda w Pythonie \u2013 Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak wykona\u0107 test Walda w j\u0119zyku Python, \u0142\u0105cznie z pe\u0142nym przyk\u0142adem.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak wykona\u0107 test Walda w Pythonie \u2013 Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak wykona\u0107 test Walda w j\u0119zyku Python, \u0142\u0105cznie z pe\u0142nym przyk\u0142adem.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T14:11:32+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/\",\"url\":\"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/\",\"name\":\"Jak wykona\u0107 test Walda w Pythonie \u2013 Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-10T14:11:32+00:00\",\"dateModified\":\"2023-07-10T14:11:32+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak wykona\u0107 test Walda w j\u0119zyku Python, \u0142\u0105cznie z pe\u0142nym przyk\u0142adem.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/wald-testuje-pythona\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykona\u0107 test walda w pythonie\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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