{"id":2995,"date":"2023-07-19T17:36:42","date_gmt":"2023-07-19T17:36:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/yuzdelik-z-puanlarini-rye-donusturun\/"},"modified":"2023-07-19T17:36:42","modified_gmt":"2023-07-19T17:36:42","slug":"yuzdelik-z-puanlarini-rye-donusturun","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/yuzdelik-z-puanlarini-rye-donusturun\/","title":{"rendered":"R'de z puanlar\u0131 ve y\u00fczdelikler aras\u0131nda d\u00f6n\u00fc\u015ft\u00fcrme nas\u0131l yap\u0131l\u0131r?"},"content":{"rendered":"

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Z-puan\u0131<\/strong> bize belirli bir de\u011ferin veri k\u00fcmesinin ortalamas\u0131ndan ka\u00e7 standart sapma oldu\u011funu s\u00f6yler.<\/span><\/p>\n

Y\u00fczdelik dilim<\/strong> bize bir veri k\u00fcmesindeki g\u00f6zlemlerin<\/a> y\u00fczde ka\u00e7\u0131n\u0131n belirli bir de\u011ferin alt\u0131na d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc s\u00f6yler.<\/span><\/p>\n

\u00c7o\u011funlukla z puanlar\u0131 ve y\u00fczdelikler aras\u0131nda d\u00f6n\u00fc\u015f\u00fcm yapmak isteyebilirsiniz.<\/span><\/p>\n

Bunu R’de yapmak i\u00e7in a\u015fa\u011f\u0131daki y\u00f6ntemleri kullanabilirsiniz:<\/span><\/p>\n

Y\u00f6ntem 1: Z Puanlar\u0131n\u0131 Y\u00fczdelik De\u011ferlere D\u00f6n\u00fc\u015ft\u00fcrme<\/strong><\/span><\/p>\n

 percentile <- pnorm(z)\n<\/strong><\/pre>\n
 Y\u00f6ntem 2: Y\u00fczdelik De\u011ferleri Z Puanlar\u0131na D\u00f6n\u00fc\u015ft\u00fcrme<\/strong><\/span><\/p>\n
 z <- qnorm(percentile)<\/strong><\/pre>\n
 A\u015fa\u011f\u0131daki \u00f6rnekler her y\u00f6ntemin pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n
 \u00d6rnek 1: Z puanlar\u0131n\u0131 R’deki y\u00fczdelik dilimlere d\u00f6n\u00fc\u015ft\u00fcr\u00fcn<\/strong><\/span><\/h3>\n
 Az puan\u0131n\u0131 y\u00fczdelik dilime d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in R’deki yerle\u015fik pnorm<\/strong> i\u015flevini kullanabiliriz.<\/span><\/p>\n
 \u00d6rne\u011fin, 1,78’lik z-puan\u0131n\u0131 y\u00fczdelik dilime nas\u0131l d\u00f6n\u00fc\u015ft\u00fcrece\u011finiz a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n
 #convert z-score of 1.78 to percentile<\/span>\npercentile <- pnorm( 1.78<\/span> )\n\n#display percentile<\/span>\npercentile\n\n[1] 0.962462\n<\/strong><\/pre>\n
 1,78’lik bir z-puan\u0131n\u0131n 96,2’lik<\/strong> bir y\u00fczdeli\u011fe kar\u015f\u0131l\u0131k geldi\u011fi ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n
 Bunu, 1,78’lik bir z-puan\u0131n\u0131n veri k\u00fcmesindeki di\u011fer t\u00fcm de\u011ferlerin yakla\u015f\u0131k %96,2’sinden<\/strong> daha y\u00fcksek oldu\u011fu \u015feklinde yorumluyoruz.<\/span><\/p>\n
 \u00d6rnek 2: Y\u00fczdelikleri R’deki Z puanlar\u0131na d\u00f6n\u00fc\u015ft\u00fcr\u00fcn<\/strong><\/span><\/h3>\n
 Bir y\u00fczdelik de\u011feri az puana d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in R’deki yerle\u015fik qnorm<\/strong> i\u015flevini kullanabiliriz.<\/span><\/p>\n
 \u00d6rne\u011fin, 0,85’lik y\u00fczdelik dilimin z puan\u0131na nas\u0131l d\u00f6n\u00fc\u015ft\u00fcr\u00fclece\u011fi a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n
 #convert percentile of 0.85 to z-score<\/span>\nz <- qnorm( 0.85<\/span> )\n\n#display z-score<\/span>\nz\n\n[1] 1.036433\n<\/strong><\/pre>\n
 0,85’lik bir y\u00fczdelik dilimin 1,036’l\u0131k<\/strong> bir z puan\u0131na kar\u015f\u0131l\u0131k geldi\u011fi ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n
 Bunu, bir veri k\u00fcmesindeki 85. y\u00fczdelik dilimdeki bir veri de\u011ferinin 1,036<\/strong> z puan\u0131na sahip oldu\u011fu \u015feklinde yorumluyoruz.<\/span><\/p>\n
 Ayr\u0131ca y\u00fczdeliklerden olu\u015fan bir tamsay\u0131 vekt\u00f6r\u00fcn\u00fc z puanlar\u0131na d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in qnorm<\/strong> i\u015flevini kullanabilece\u011fimizi de unutmay\u0131n:<\/span><\/p>\n
 #define vector of percentiles\np_vector <- c(0.1, 0.35, 0.5, 0.55, 0.7, 0.9, 0.92)<\/span>\n\n#convert all percentiles in vector to z-scores<\/span>\nqnorm(p_vector)\n\n[1] -1.2815516 -0.3853205 0.0000000 0.1256613 0.5244005 1.2815516 1.4050716\n<\/strong><\/pre>\n
 Sonucun nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n