Kruskal_Wallis_Test
sumeyyearkan
2023-12-10
1 Kruskal Wallis Testi
Bu kitap bölümünde non-parametrik bir test olan Kruskal Wallis’in teorik bilgisinin verilmesinin ardından, varsayımları açıklanacaktır. Sonrasında ise örnek veri üzerinden bu testin nasıl yapılacağı gösterilecektir.
1.1 Teorik Bilgiler
Kruskal Wallis testi, ilişkili örneklemler için tek yönlü varyans analizinin (ANOVA) non-parametrik alternatifidir. Tek yönlü ANOVA için gerekli varsayımlar karşılanmadığında bu test önerilmektedir. Üç veya daha fazla grup için bazı sürekli değişkenler üzerindeki puanları karşılaştırmaya olanak tanır (Pallant 2020). Kruskal Wallis testi, her ölçüm değeri için genel veri setindeki sıralamayı değiştirerek başlar. En küçük değerin sıralaması 1, ikinci en küçük değerin sıralaması 2 vb. olur (Hecke 2012).
1.2 Kruskal Wallis Testi İçin Varsayımlar
Kontrol edilmesi gereken iki genel varsayım vardır:
Randomize örneklem,
Bağımsız gözlemler.
Yukarıdaki varsayımlar genellikle non-parametrik testleri yapmadan önce kontrol ettiğimiz varsayımlardır. Kruskal Wallis testinin gerçekleştirilebilmesi için bir kategorik bağımsız değişkenin (üç ya da daha fazla kategori) ve bir sürekli bağımlı değişkenin olması elzemdir. Bunun yanı sıra normal dağılım göstermediği varsayılır.
1.3 Problem Durumu ve Hipotezler
Bu kitap bölümünde Kruskal Wallis testi baba eğitim düzeyi açısından öğrencilerin okula yönelik tutumları arasında fark olup olmadığını test etmek üzere kullanılmıştır.
Problem durumu: Baba eğitim düzeyi açısından öğrencilerin okuldaki eğitsel aktivitelere yönelik tutumları arasında fark var mıdır?
H0 : Baba eğitim düzeyi açısından öğrencilerin okuldaki eğitsel aktivitelere yönelik tutumları arasında fark yoktur.
H1 : Baba eğitim düzeyi açısından öğrencilerin okuldaki eğitsel aktivitelere yönelik tutumları arasında fark vardır.
1.4 Analizde Kullanılan Verinin Tanıtılması
Bu analizde PISA2018 verileri kullanılacaktır. Veri setinde 1119 değişken ve 6890 gözlem bulunmaktadır. Bağımlı değişken okuldaki eğitsel aktivitelere yönelik tutumları olarak belirlenmiştir. Bu değişken süreklidir. Bağımsız değişken olarak ise öğrencilerin baba eğitim düzey kullanılmıştır. tuev paketi indirilmiştir ve buradaki 2018 PISA verileri kullanılmıştır. Aşağıdaki kodlarla veri seti etkinleştirilebilir. Analizde kullanılan değişkenlerin isimleri FISCED, baba eğitim düzeyini, ATTLNACT ise okuldaki eğitsel aktivitelere yönelik tutumlarını göstermektedir.
library(tuev)
data("PISA_STU_2018")library(pillar)
str(PISA_STU_2018)## Classes 'tbl_df', 'tbl' and 'data.frame': 6890 obs. of 1119 variables:
## $ CNTRYID : hvn_lbll [1:6890] 792, 792, 792, 792, 792, 792, 792, 792, 792, 792, 79...
## ..@ label : chr "Country Identifier"
## ..@ format.spss : chr "F3.0"
## ..@ display_width: int 9
## ..@ labels : Named num 8 31 32 36 40 56 70 76 96 100 ...
## .. ..- attr(*, "names")= chr [1:82] "Albania" "Baku (Azerbaijan)" "Argentina" "Australia" ...
## $ CNT : hvn_lbll [1:6890] TUR, TUR, TUR, TUR, TUR, TUR, TUR, TUR, TUR, TUR, TU...
## ..@ label : chr "Country code 3-character"
## ..@ format.spss : chr "A3"
## ..@ display_width: int 11
## ..@ labels : Named chr "MDA" "THA" "BRA" "FRA" ...
## .. ..- attr(*, "names")= chr [1:82] "Moldova" "Thailand" "Brazil" "France" ...
## $ CNTSCHID : num 79200001 79200001 79200001 79200001 79200001 ...
## ..- attr(*, "label")= chr "Intl. School ID"
## ..- attr(*, "format.spss")= chr "F8.0"
## ..- attr(*, "display_width")= int 10
## $ CNTSTUID : num 79200768 79201064 79201118 79201275 79201481 ...
## ..- attr(*, "label")= chr "Intl. Student ID"
## ..- attr(*, "format.spss")= chr "F8.0"
## ..- attr(*, "display_width")= int 10
## $ CYC : chr "07MS" "07MS" "07MS" "07MS" ...
## ..- attr(*, "label")= chr "PISA Assessment Cycle (2 digits + 2 character Assessment type - MS/FT)"
## ..- attr(*, "format.spss")= chr "A4"
## ..- attr(*, "display_width")= int 14
## $ NatCen : hvn_lbll [1:6890] 079200, 079200, 079200, 079200, 079200, 079200, 0792...
## ..@ label : chr "National Centre 6-digit Code"
## ..@ format.spss : chr "A6"
## ..@ display_width: int 20
## ..@ labels : Named chr "010000" "030000" "040000" "041000" ...
## .. ..- attr(*, "names")= chr [1:80] "Bulgaria" "Greece" "Jordan" "Korea" ...
## $ STRATUM : hvn_lbll [1:6890] TUR0112, TUR0112, TUR0112, TUR0112, TUR0112, TUR0112...
## ..@ label : chr "Stratum ID 7-character (cnt + region ID + original stratum ID)"
## ..@ format.spss : chr "A7"
## ..@ display_width: int 23
## ..@ labels : Named chr "MDA0010" "MAC0010" "MKD0010" "NLD0010" ...
## .. ..- attr(*, "names")= chr [1:1478] "MDA - stratum 10: Russian / Big city / Mixed" "MAC - stratum 10: Private-not-in-Net, Grammar-International, Portuguese" "MKD - stratum 10: ISCED3/Macedonian/General" "NLD - stratum 10: 10_Private Education" ...
## $ SUBNATIO : hvn_lbll [1:6890] 7920000, 7920000, 7920000, 7920000, 7920000, 7920000...
## ..@ label : chr "Adjudicated sub-region code 7-digit code (3-digit country code + region ID + stratum ID)"
## ..@ format.spss : chr "A7"
## ..@ display_width: int 23
## ..@ labels : Named chr "1000000" "3000000" "4000000" "4100000" ...
## .. ..- attr(*, "names")= chr [1:91] "Bulgaria" "Greece" "Jordan" "Korea" ...
## $ OECD : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1...
## ..@ label : chr "OECD country"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 6
## ..@ labels : Named num 0 1
## .. ..- attr(*, "names")= chr [1:2] "No" "Yes"
## $ ADMINMODE : hvn_lbll [1:6890] 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2...
## ..@ label : chr "Mode of Respondent"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 11
## ..@ labels : Named num 1 2
## .. ..- attr(*, "names")= chr [1:2] "Paper" "Computer"
## $ LANGTEST_QQQ: hvn_lbll [1:6890] 344, 344, 344, 344, 344, 344, 344, 344, 344, 344, 34...
## ..@ label : chr "Language of Questionnaire"
## ..@ format.spss : chr "F3.0"
## ..@ display_width: int 14
## ..@ labels : Named num 113 118 121 130 140 141 148 156 160 170 ...
## .. ..- attr(*, "names")= chr [1:62] "Indonesian" "Romanian" "Estonian" "Georgian" ...
## $ LANGTEST_COG: hvn_lbll [1:6890] 344, 344, 344, 344, 344, 344, 344, 344, 344, 344, 34...
## ..@ label : chr "Language of Assessment"
## ..@ format.spss : chr "F3.0"
## ..@ display_width: int 14
## ..@ labels : Named num 113 118 121 130 140 141 148 156 160 170 ...
## .. ..- attr(*, "names")= chr [1:62] "Indonesian" "Romanian" "Estonian" "Georgian" ...
## $ LANGTEST_PAQ: hvn_lbll [1:6890] NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, ...
## ..@ label : chr "Language of Assessment (PAQ)"
## ..@ format.spss : chr "F3.0"
## ..@ display_width: int 14
## ..@ labels : Named num 113 118 121 130 140 141 148 156 160 170 ...
## .. ..- attr(*, "names")= chr [1:62] "Indonesian" "Romanian" "Estonian" "Georgian" ...
## $ BOOKID : hvn_lbll [1:6890] 20, 5, 16, 21, 1, 17, 3, 19, 7, 9, 23, 22, 25, ...
## ..@ label : chr "Form Identifier"
## ..@ format.spss: chr "F3.0"
## ..@ labels : Named num 1 2 3 4 5 6 7 8 9 10 ...
## .. ..- attr(*, "names")= chr [1:112] "Form 1" "Form 2" "Form 3" "Form 4" ...
## $ ST001D01T : hvn_lbll [1:6890] 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 11, 9, ...
## ..@ label : chr "Student International Grade (Derived)"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 11
## ..@ labels : Named num 7 8 9 10 11 12 13 96 97 98 ...
## .. ..- attr(*, "names")= chr [1:11] "Grade 7" "Grade 8" "Grade 9" "Grade 10" ...
## $ ST003D02T : hvn_lbll [1:6890] 10, 2, 1, 9, 9, 8, 7, 2, 2, 4, 3, 3, 9, ...
## ..@ label : chr "Student (Standardized) Birth - Month"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 11
## ..@ labels : Named num 1 2 3 4 5 6 7 8 9 10 ...
## .. ..- attr(*, "names")= chr [1:16] "January" "February" "March" "April" ...
## $ ST003D03T : hvn_lbll [1:6890] 2002, 2002, 2002, 2002, 2002, 2002, 2002, 2002, 2002...
## ..@ label : chr "Student (Standardized) Birth -Year"
## ..@ format.spss : chr "F4.0"
## ..@ display_width: int 11
## ..@ labels : Named num 9995 9997 9998 9999
## .. ..- attr(*, "names")= chr [1:4] "Valid Skip" "Not Applicable" "Invalid" "No Response"
## $ ST004D01T : hvn_lbll [1:6890] 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1...
## ..@ label : chr "Student (Standardized) Gender"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 11
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Female" "Male" "Valid Skip" "Not Applicable" ...
## $ ST005Q01TA : hvn_lbll [1:6890] 3, 3, 4, 1, 1, 1, 3, 2, 4, 5, 4, 1, 1, 1, 3, 1, 3, 1...
## ..@ label : chr "What is the <highest level of schooling> completed by your mother?"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 95 97 98 99
## .. ..- attr(*, "names")= chr [1:9] "ISCED level 3A" "ISCED level 3B, 3C" "ISCED level 2" "ISCED level 1" ...
## $ ST006Q01TA : hvn_lbll [1:6890] 2, 2, 2, NA, NA, 2, NA, 2, 2, 2, 2, 1, 2, ...
## ..@ label : chr "Does your mother have this qualification? <ISCED level 6> (incl. higher qualifications at level 5A in some countries)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST006Q02TA : hvn_lbll [1:6890] 2, 2, 2, 1, NA, 2, NA, 2, 2, 2, 2, 1, 2, ...
## ..@ label : chr "Does your mother have this qualification? <ISCED level 5A> (excl. higher qualifications at level 5A in some countries)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST006Q03TA : hvn_lbll [1:6890] 2, 2, 2, NA, NA, 2, 1, 1, 2, 2, 2, 1, 2, ...
## ..@ label : chr "Does your mother have any of the following qualifications? <ISCED level 5B>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST006Q04TA : hvn_lbll [1:6890] NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, ...
## ..@ label : chr "Does your mother have any of the following qualifications? <ISCED level 4>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST007Q01TA : hvn_lbll [1:6890] 3, 3, 3, 1, 1, 1, 2, 2, 1, 3, 3, 1, 1, 4, 1, 1, 1, 1...
## ..@ label : chr "What is the <highest level of schooling> completed by your father?"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 95 97 98 99
## .. ..- attr(*, "names")= chr [1:9] "ISCED level 3A" "ISCED level 3B, 3C" "ISCED level 2" "ISCED level 1" ...
## $ ST008Q01TA : hvn_lbll [1:6890] 2, 2, 2, NA, 2, 2, NA, 2, 2, 2, 2, NA, 2, ...
## ..@ label : chr "Does your father have this qualification? <ISCED level 6> (incl. higher qualifications at level 5A in some countries)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST008Q02TA : hvn_lbll [1:6890] 2, 2, 2, 1, 2, 1, NA, 2, 2, 2, 2, 1, 2, ...
## ..@ label : chr "Does your father have this qualification? <ISCED level 5A> (excl. higher qualifications at level 5A in some countries)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST008Q03TA : hvn_lbll [1:6890] 2, 2, 2, NA, 2, 2, 1, 1, 2, 2, 1, NA, 2, ...
## ..@ label : chr "Does your father have any of the following qualifications? <ISCED level 5B>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST008Q04TA : hvn_lbll [1:6890] NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, ...
## ..@ label : chr "Does your father have any of the following qualifications? <ISCED level 4>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q01TA : hvn_lbll [1:6890] 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1...
## ..@ label : chr "In your home: A desk to study at"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q02TA : hvn_lbll [1:6890] 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1...
## ..@ label : chr "In your home: A room of your own"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q03TA : hvn_lbll [1:6890] 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1...
## ..@ label : chr "In your home: A quiet place to study"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q04TA : hvn_lbll [1:6890] 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1...
## ..@ label : chr "In your home: A computer you can use for school work"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q05TA : hvn_lbll [1:6890] 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, ...
## ..@ label : chr "In your home: Educational software"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q06TA : hvn_lbll [1:6890] 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1...
## ..@ label : chr "In your home: A link to the Internet"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q07TA : hvn_lbll [1:6890] 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1...
## ..@ label : chr "In your home: Classic literature (e.g. <Shakespeare>)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q08TA : hvn_lbll [1:6890] 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1...
## ..@ label : chr "In your home: Books of poetry"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q09TA : hvn_lbll [1:6890] 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2...
## ..@ label : chr "In your home: Works of art (e.g. paintings)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q10TA : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1...
## ..@ label : chr "In your home: Books to help with your school work"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q11TA : hvn_lbll [1:6890] 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1...
## ..@ label : chr "In your home: <Technical reference books>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q12TA : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1...
## ..@ label : chr "In your home: A dictionary"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011Q16NA : hvn_lbll [1:6890] 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2...
## ..@ label : chr "In your home: Books on art, music, or design"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 5 7 8 9
## .. ..- attr(*, "names")= chr [1:6] "Yes" "No" "Valid Skip" "Not Applicable" ...
## $ ST011D17TA : hvn_lbll [1:6890] 0792002, 0792001, 0792002, 0792001, 0792001, 0792001...
## ..@ label : chr "In your home: <Country-specific wealth item 1>"
## ..@ format.spss : chr "A7"
## ..@ display_width: int 23
## ..@ labels : Named chr "0100001" "0300001" "0400001" "0410001" ...
## .. ..- attr(*, "names")= chr [1:155] "Bulgaria : Smart phone-Yes" "Greece : Dishwasher-Yes" "Jordan : Central Heating System-Yes" "Korea : air conditioner-Yes" ...
## $ ST011D18TA : hvn_lbll [1:6890] 0792002, 0792002, 0792001, 0792002, 0792001, 0792002...
## ..@ label : chr "In your home: <Country-specific wealth item 2>"
## ..@ format.spss : chr "A7"
## ..@ display_width: int 23
## ..@ labels : Named chr "0100001" "0300001" "0400001" "0410001" ...
## .. ..- attr(*, "names")= chr [1:153] "Bulgaria : Digital camera-Yes" "Greece : parking space-Yes" "Jordan : Play Station-Yes" "Korea : screen and stereo for watching movie-Yes" ...
## $ ST011D19TA : hvn_lbll [1:6890] 0792002, 0792002, 0792002, 0792002, 0792001, 0792001...
## ..@ label : chr "In your home: <Country-specific wealth item 3>"
## ..@ format.spss : chr "A7"
## ..@ display_width: int 23
## ..@ labels : Named chr "0100001" "0300001" "0400001" "0410001" ...
## .. ..- attr(*, "names")= chr [1:137] "Bulgaria : Air conditioning-Yes" "Greece : Security alarm system-Yes" "Jordan : Digital Camera-Yes" "Korea : dishwasher-Yes" ...
## $ ST012Q01TA : hvn_lbll [1:6890] 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3...
## ..@ label : chr "How many in your home: Televisions"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST012Q02TA : hvn_lbll [1:6890] 1, 2, 3, 1, 2, 3, 2, 2, 1, 1, 1, 4, 2, ...
## ..@ label : chr "How many in your home: Cars"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST012Q03TA : hvn_lbll [1:6890] 2, 2, 2, 1, 3, 2, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2...
## ..@ label : chr "How many in your home: Rooms with a bath or shower"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST012Q05NA : hvn_lbll [1:6890] 2, 4, 4, 2, 4, 4, 4, 4, 3, 2, 2, 4, 4, 2, 4, 3, 2, 4...
## ..@ label : chr "How many in your home: <Cell phones> with Internet access (e.g. smartphones)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST012Q06NA : hvn_lbll [1:6890] 1, 1, 1, 2, 3, 2, 2, 2, 3, 2, 1, 3, 2, ...
## ..@ label : chr "How many in your home: Computers (desktop computer, portable laptop, or notebook)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST012Q07NA : hvn_lbll [1:6890] 2, 1, 1, 1, 3, 1, 2, 2, 3, 1, 1, 3, 2, 1, 1, 1, 1, 1...
## ..@ label : chr "How many in your home: <Tablet computers> (e.g. <iPad>, <BlackBerry PlayBook>)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST012Q08NA : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1...
## ..@ label : chr "How many in your home: E-book readers (e.g. <Kindle>, <Kobo>, <Bookeen>)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST012Q09NA : hvn_lbll [1:6890] 3, 4, 1, 1, 3, 1, 2, 2, 3, 1, 1, 3, 4, 1, 2, 1, 1, 3...
## ..@ label : chr "How many in your home: Musical instruments (e.g. guitar, piano)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "None" "One" "Two" "Three or more" ...
## $ ST013Q01TA : hvn_lbll [1:6890] 2, 3, 1, 1, 2, 2, 3, 3, 3, 4, 2, 1, 3, 1, 3, 1, 2, 5...
## ..@ label : chr "How many books are there in your home?"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 6 95 97 98 99
## .. ..- attr(*, "names")= chr [1:10] "0-10 books" "11-25 books" "26-100 books" "101-200 books" ...
## $ ST019AQ01T : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1...
## ..@ label : chr "In what country were you and your parents born? You"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 95 97 98 99
## .. ..- attr(*, "names")= chr [1:6] "Country of test" "Other country" "Valid Skip" "Not Applicable" ...
## $ ST019BQ01T : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, NA, 1, 1, 1, ...
## ..@ label : chr "In what country were you and your parents born? Mother"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 95 97 98 99
## .. ..- attr(*, "names")= chr [1:6] "Country of test" "Other country" "Valid Skip" "Not Applicable" ...
## $ ST019CQ01T : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, NA, 1, 1, 1, ...
## ..@ label : chr "In what country were you and your parents born? Father"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 95 97 98 99
## .. ..- attr(*, "names")= chr [1:6] "Country of test" "Other country" "Valid Skip" "Not Applicable" ...
## $ ST021Q01TA : hvn_lbll [1:6890] NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, ...
## ..@ label : chr "How old were you when you arrived in <country of test>?"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 6 7 8 9 10 ...
## .. ..- attr(*, "names")= chr [1:21] "age 0 - 1" "age 1" "age 2" "age 3" ...
## $ ST125Q01NA : hvn_lbll [1:6890] 6, 6, 6, 6, 8, 7, 6, 6, 6, 5, 7, 6, 6, ...
## ..@ label : chr "How old were you when you started <ISCED 0>? Years"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 6 7 8 95 97 ...
## .. ..- attr(*, "names")= chr [1:12] "1 year or younger" "2 years" "3 years" "4 years" ...
## $ ST126Q01TA : hvn_lbll [1:6890] 5, 5, 5, 5, 4, 4, 6, 5, 6, 4, 5, 6, 6, ...
## ..@ label : chr "How old were you when you started <ISCED 1>? Years"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 6 7 95 97 98 ...
## .. ..- attr(*, "names")= chr [1:11] "3 or younger" "4" "5" "6" ...
## $ ST127Q01TA : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1...
## ..@ label : chr "Have you ever repeated a <grade>? At <ISCED 1>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 5 7 8 9
## .. ..- attr(*, "names")= chr [1:7] "No, never" "Yes, once" "Yes, twice or more" "Valid Skip" ...
## $ ST127Q02TA : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1...
## ..@ label : chr "Have you ever repeated a <grade>? At <ISCED 2>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 5 7 8 9
## .. ..- attr(*, "names")= chr [1:7] "No, never" "Yes, once" "Yes, twice or more" "Valid Skip" ...
## $ ST127Q03TA : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, NA, ...
## ..@ label : chr "Have you ever repeated a <grade>? At <ISCED 3>"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 5 7 8 9
## .. ..- attr(*, "names")= chr [1:7] "No, never" "Yes, once" "Yes, twice or more" "Valid Skip" ...
## $ ST022Q01TA : hvn_lbll [1:6890] 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1...
## ..@ label : chr "What language do you speak at home most of the time?"
## ..@ format.spss : chr "F2.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 95 97 98 99
## .. ..- attr(*, "names")= chr [1:6] "Language of the test" "Other language" "Valid Skip" "Not Applicable" ...
## $ ST023Q01TA : hvn_lbll [1:6890] 4, 4, 1, 4, 4, 1, 3, 4, 4, 1, 1, 1, 2, 3, 4, 2, 1, 4...
## ..@ label : chr "Which language do you usually speak with: My mother"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Mostly my heritage language" "About equally often my heritage language and test language" "Mostly test language" "Not applicable - e.g. because heritage language and test language are the same" ...
## $ ST023Q02TA : hvn_lbll [1:6890] 4, 4, 1, 4, 4, 1, 3, 4, 4, 1, 1, 1, 2, 3, 4, 2, 1, 3...
## ..@ label : chr "Which language do you usually speak with: My father"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Mostly my heritage language" "About equally often my heritage language and test language" "Mostly test language" "Not applicable - e.g. because heritage language and test language are the same" ...
## $ ST023Q03TA : hvn_lbll [1:6890] 4, 4, 1, 4, 4, 1, 3, 4, 4, 1, 1, 1, 2, ...
## ..@ label : chr "Which language do you usually speak with: My brother(s) and/or sister(s)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Mostly my heritage language" "About equally often my heritage language and test language" "Mostly test language" "Not applicable - e.g. because heritage language and test language are the same" ...
## $ ST023Q04TA : hvn_lbll [1:6890] 4, 4, 1, 4, 4, 1, 3, 3, 4, 1, 1, 1, 4, 3, 4, 2, 1, 3...
## ..@ label : chr "Which language do you usually speak with: My best friend"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Mostly my heritage language" "About equally often my heritage language and test language" "Mostly test language" "Not applicable - e.g. because heritage language and test language are the same" ...
## $ ST023Q05TA : hvn_lbll [1:6890] 4, 4, 1, 4, 4, 1, 3, 4, 4, 1, 1, 1, 4, 3, 4, 2, 1, 4...
## ..@ label : chr "Which language do you usually speak with: My schoolmates"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Mostly my heritage language" "About equally often my heritage language and test language" "Mostly test language" "Not applicable - e.g. because heritage language and test language are the same" ...
## $ ST097Q01TA : hvn_lbll [1:6890] 1, 3, 2, 2, 3, 3, 3, 3, 3, 3, 4, 1, 1, 2, 4, 2, 3, 3...
## ..@ label : chr "How often during <test language lessons>: Students don't listen to what the teacher says."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST097Q02TA : hvn_lbll [1:6890] 2, 2, 3, 2, 3, 3, NA, 3, 4, 4, 4, 2, 1, ...
## ..@ label : chr "How often during <test language lessons>: There is noise and disorder."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST097Q03TA : hvn_lbll [1:6890] 1, 3, 3, 3, 4, 2, 3, 2, 3, 2, 3, 1, 1, 3, 4, 4, 3, 3...
## ..@ label : chr "How often during <test language lessons>: The teacher waits long for students to quiet down."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST097Q04TA : hvn_lbll [1:6890] 1, 3, 3, 1, 3, 2, 3, 1, 4, 1, 4, 2, 1, 2, 3, 3, 2, 3...
## ..@ label : chr "How often during <test language lessons>: Students cannot work well."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST097Q05TA : hvn_lbll [1:6890] 1, 3, 3, 1, 1, 3, 4, 2, 3, 1, 4, 2, 1, 3, 3, 3, 1, 3...
## ..@ label : chr "How often during <test language lessons>: Students don't start working for a long time after the lesson begins."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST100Q01TA : hvn_lbll [1:6890] 2, 4, 2, 3, 2, 4, 1, 4, 2, 1, 1, 4, 4, 1, 1, 2, 2, 2...
## ..@ label : chr "How often during <test language lessons>: The teacher shows an interest in every student's learning."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST100Q02TA : hvn_lbll [1:6890] 2, 3, 2, 2, 3, 3, 1, 2, 1, 1, 3, 3, 4, 2, 1, 2, 2, 1...
## ..@ label : chr "How often during <test language lessons>: The teacher gives extra help when students need it."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST100Q03TA : hvn_lbll [1:6890] 2, 3, 2, 1, 1, 3, 1, 2, 1, 1, 1, 3, 4, 1, 1, 2, 2, 1...
## ..@ label : chr "How often during <test language lessons>: The teacher helps students with their learning."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST100Q04TA : hvn_lbll [1:6890] 3, 2, 3, 4, 4, 3, 3, 3, 1, 1, 2, 4, 4, 2, 2, 2, 2, 1...
## ..@ label : chr "How often during <test language lessons>: The teacher continues teaching until the students understands."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST102Q01TA : hvn_lbll [1:6890] 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 4, 2, 3, 2, 2, 1...
## ..@ label : chr "How often during <test language lessons>: The teacher sets clear goals for our learning."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST102Q02TA : hvn_lbll [1:6890] 2, 3, 2, 3, 1, 3, 3, 1, 1, 1, 1, 2, 4, 1, 1, 1, 2, 1...
## ..@ label : chr "How often during <test language lessons>: The teacher asks questions to check whether we have understood what was taught"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST102Q03TA : hvn_lbll [1:6890] 3, 2, 3, 4, 2, 3, 1, 4, 3, 1, 2, 3, 4, 1, 1, 2, 2, 1...
## ..@ label : chr "How often during <test language lessons>: [...] the teacher presents a short summary of the previous lesson."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST102Q04TA : hvn_lbll [1:6890] 2, 2, 3, 3, 2, 3, 1, 2, 1, 2, 1, 2, 4, ...
## ..@ label : chr "How often during <test language lessons>: The teacher tells us what we have to learn."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Every lesson" "Most lessons" "Some lessons" "Never or hardly ever" ...
## $ ST211Q01HA : hvn_lbll [1:6890] 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 3, 1, 3, 3, 3, 2, 4...
## ..@ label : chr "Thinking of past two <test language lessons>: The teacher made me feel confident in my ability to do well in the course."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Strongly disagree" "Disagree" "Agree" "Strongly agree" ...
## $ ST211Q02HA : hvn_lbll [1:6890] 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 1, 3, 1, 2, 2, 3, 3, 4...
## ..@ label : chr "Thinking of past two <test language lessons>: The teacher listened to my view on how to do things."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Strongly disagree" "Disagree" "Agree" "Strongly agree" ...
## $ ST211Q03HA : hvn_lbll [1:6890] 3, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 4, 1, 2, 2, 3, 2, 4...
## ..@ label : chr "Thinking of past two <test language lessons>: I felt that my teacher understood me."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Strongly disagree" "Disagree" "Agree" "Strongly agree" ...
## $ ST212Q01HA : hvn_lbll [1:6890] 3, 4, 2, 2, 1, 1, 4, 1, 3, 3, 4, 1, 1, ...
## ..@ label : chr "How often in <test language lessons>: The teacher adapts the lesson to my class’s needs and knowledge."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Never or almost never" "Some lessons" "Many lessons" "Every lesson or almost every lesson" ...
## $ ST212Q02HA : hvn_lbll [1:6890] 2, 2, 2, 2, 1, 2, 3, 3, 4, 3, 2, 1, 2, ...
## ..@ label : chr "How often in <test language lessons>: The teacher provides individual help when a student has difficulties [...]"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Never or almost never" "Some lessons" "Many lessons" "Every lesson or almost every lesson" ...
## $ ST212Q03HA : hvn_lbll [1:6890] 2, 2, 1, 2, 3, 1, 3, 3, 2, 1, 3, 2, 1, ...
## ..@ label : chr "How often in <test language lessons>: The teacher changes the structure of the lesson on a topic that most [...]"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Never or almost never" "Some lessons" "Many lessons" "Every lesson or almost every lesson" ...
## $ ST104Q02NA : hvn_lbll [1:6890] 2, 2, 2, 3, 3, 3, 3, 4, 1, 2, 3, 3, 2, ...
## ..@ label : chr "How often during <test language lessons>: The teacher gives me feedback on my strengths in this subject."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Never or almost never" "Some lessons" "Many lessons" "Every lesson or almost every lesson" ...
## $ ST104Q03NA : hvn_lbll [1:6890] 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 3, 1, ...
## ..@ label : chr "How often during <test language lessons>: The teacher tells me in which areas I can still improve."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Never or almost never" "Some lessons" "Many lessons" "Every lesson or almost every lesson" ...
## $ ST104Q04NA : hvn_lbll [1:6890] 2, 3, 2, 3, 4, 3, 2, 3, 2, 4, 4, 4, 1, ...
## ..@ label : chr "How often during <test language lessons>: The teacher tells me how I can improve my performance."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Never or almost never" "Some lessons" "Many lessons" "Every lesson or almost every lesson" ...
## $ ST213Q01HA : hvn_lbll [1:6890] 2, 1, 2, 2, 1, 2, 3, 2, 3, 2, 1, 1, 1, ...
## ..@ label : chr "Thinking of past two <test language lessons>: It was clear to me that the teacher liked teaching us."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Strongly disagree" "Disagree" "Agree" "Strongly agree" ...
## $ ST213Q02HA : hvn_lbll [1:6890] 2, 1, 3, 2, 1, 2, 1, 2, 3, 2, 1, 1, 1, ...
## ..@ label : chr "Thinking of past two <test language lessons>: The enthusiasm of the teacher inspired me."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Strongly disagree" "Disagree" "Agree" "Strongly agree" ...
## $ ST213Q03HA : hvn_lbll [1:6890] 2, 2, 3, 2, 1, 3, 3, 3, 3, 2, 1, 1, 2, ...
## ..@ label : chr "Thinking of past two <test language lessons>: It was clear that the teacher likes to deal with the topic of the lesson."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Strongly disagree" "Disagree" "Agree" "Strongly agree" ...
## $ ST213Q04HA : hvn_lbll [1:6890] 2, 2, 3, 2, 1, 3, 3, 3, 2, 2, 1, 1, 1, ...
## ..@ label : chr "Thinking of past two <test language lessons>: The teacher showed enjoyment in teaching."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Strongly disagree" "Disagree" "Agree" "Strongly agree" ...
## $ ST150Q01IA : hvn_lbll [1:6890] 3, 1, 2, 4, 1, 2, 1, 1, 3, 2, 1, 2, 3, ...
## ..@ label : chr "During the last month, how often did you have to read for school: Texts that include diagrams or maps"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Many times" "Two or three times" "Once" "Not at all" ...
## $ ST150Q02IA : hvn_lbll [1:6890] 3, 1, 1, 4, 1, 2, 1, 1, 3, 2, 1, 2, 2, ...
## ..@ label : chr "During the last month, how often did you have to read for school: Fiction (e.g., novels, short stories)"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Many times" "Two or three times" "Once" "Not at all" ...
## $ ST150Q03IA : hvn_lbll [1:6890] 3, 1, 1, 4, 4, 3, 2, 1, 3, 1, 2, 2, 4, ...
## ..@ label : chr "During the last month, how often did you have to read for school: Texts that include tables or graphs"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Many times" "Two or three times" "Once" "Not at all" ...
## $ ST150Q04HA : hvn_lbll [1:6890] 4, 4, 2, 4, 1, 3, 1, 2, 4, 4, 2, 2, 4, ...
## ..@ label : chr "During the last month, how often did you have to read for school: Digital texts including links"
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Many times" "Two or three times" "Once" "Not at all" ...
## $ ST152Q05IA : hvn_lbll [1:6890] 2, 3, 2, 2, 4, 2, 2, 3, 2, 4, 4, 1, 1, ...
## ..@ label : chr "In your <test language lessons>, how often: The teacher encourages students to express their opinion about a text."
## ..@ format.spss : chr "F1.0"
## ..@ display_width: int 12
## ..@ labels : Named num 1 2 3 4 5 7 8 9
## .. ..- attr(*, "names")= chr [1:8] "Never or hardly ever" "In some lessons" "In most lessons" "In all lessons" ...
## [list output truncated]library(dplyr)##
## Attaching package: 'dplyr'## The following object is masked from 'package:pillar':
##
## dim_desc## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, uniondat_analysis <- PISA_STU_2018 %>% select(FISCED, ATTLNACT)
names(dat_analysis) <- c("BABAE", "TUET")
dat_analysis2 <- expss::drop_val_labs(dat_analysis)Her iki değişkenin adında değişiklik yapmak için aşağıdaki kod çalıştırılmıştır. Yeni değişken isimleri FISCED için BABAE ve ATTLNACT için TUET olarak belirlenmiştir. Seçilen değişkenler dat_anaylsis olarak tanıtılmıştır. Verilerde iki değişken ve 6890 gözlem bulunmaktadır. Analizlerde karşımıza hata çıkmaması için verilerin haven etiketleri de drop_var_labs () fonksiyonu kullanılarak kaldırılmıştır. Bu verilere ilişkin betimsel istatistikler hesaplanmıştır.
1.4.1 Betimsel İstatistikler
Veri setindeki değişkenler için betimsel istatistikler hesaplanmıştır.
Baba eğitim düzeyininin betimsel istatistiklerini hesaplamak için summary() fonksiyonu kullanılmıştır.
BABAE <-expss::drop_var_labs(PISA_STU_2018$FISCED)
BABAE_df <- as.data.frame(t(summary(BABAE)))
hist(BABAE)
Burada dağılımın normal olmadığı ve 0-6 arasında dağıldığını söylemek mümkündür. Tablo 1 baba eğitim düzeyine dair betimsel istatistikleri sunmaktadır.
Tablo 1
Baba Eğitim Düzeyi Betimsel İstatistikler
BABAE_df2 <- BABAE_df %>% select(-Var1)
BABAE_df2 <- BABAE_df2 %>% rename(Betimsel=Var2 , Değer= Freq)
knitr::kable(BABAE_df)| Var1 | Var2 | Freq |
|---|---|---|
| A | Min. | 0.000000 |
| A | 1st Qu. | 1.000000 |
| A | Median | 2.000000 |
| A | Mean | 3.124835 |
| A | 3rd Qu. | 5.000000 |
| A | Max. | 6.000000 |
| A | NA’s | 57.000000 |
TUET_bet <- summary (dat_analysis2$TUET, subset(dat_analysis2$TUET))
TUET_bet_df <- as.data.frame(t(TUET_bet))Tablo 2
Okuldaki Eğitsel Aktivitelere Yönelik Tutumlar
TUET_bet_df_2 <- TUET_bet_df %>% select(-Var1)
TUET_bet_df_2 <- TUET_bet_df_2 %>% rename(Betimsel=Var2 , Değer= Freq)
knitr::kable(TUET_bet_df_2, round(2))| Betimsel | Değer |
|---|---|
| Min. | -2.5375000 |
| 1st Qu. | -0.6583000 |
| Median | 0.0281000 |
| Mean | -0.1134841 |
| 3rd Qu. | 1.0844000 |
| Max. | 1.0844000 |
| NA’s | 125.0000000 |
Tablo 2’de de görüldüğü gibi bu değişkende 125 kayıp veri bulunmaktadır. Kayıp veri istatistiksel analiz öncesinde işlem gerektirmektedir. Kayıp veri analizi için birçok yöntem bulunmaktadır. Burada değerleri incelediğimizde minimum değer -2.537 ve maksimum değer ise 1.084’tir.
1.5 Kayıp Veri Analizi ve Manipülasyonu
Öğrencilerin sınıf düzeylerinde herhangi bir kayıp veriye ulaşılmamıştır. Okuldaki eğitsel aktivitelere yönelik tutumlar değişkenindeki kayıp verilerin 125 tane olduğuna summary fonksiyonuyla ulaşmıştık. Bir diğer fonksiyon olan colSums(is.na()) ile sütundaki kayıp veri sayısına erişebiliriz. Öncelikle bu değişken için bir dataframe oluşturmamız gerekmektedir.
colMeans(dat_analysis2, na.rm = TRUE)## BABAE TUET
## 3.1248354 -0.1134841summary(complete.cases(dat_analysis2))## Mode FALSE TRUE
## logical 145 6745complete.cases(dat_analysis2)## [1] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [13] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [25] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [37] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [49] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [61] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [73] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [85] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [97] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [109] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [121] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [133] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [145] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [157] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [169] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [181] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [193] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [205] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [217] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [229] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [241] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [253] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [265] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [277] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [289] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [301] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [313] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [325] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [337] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [349] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [361] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [373] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [385] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [397] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [409] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [421] FALSE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [433] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [445] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [457] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [469] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [481] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [493] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [505] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [517] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [529] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [541] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [553] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [565] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [577] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [589] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [601] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [613] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [625] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [637] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [649] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [661] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [673] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [685] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [697] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [709] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [721] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [733] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [745] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [757] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [769] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [781] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [793] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [805] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [817] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [829] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [841] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [853] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [865] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [877] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [889] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE
## [901] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [913] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [925] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [937] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [949] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [961] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [973] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [985] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [997] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1009] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1021] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1033] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [1045] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1057] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1069] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1081] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1093] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1105] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1117] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1129] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1141] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1153] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1165] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1177] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1189] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1201] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1213] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1225] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1237] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1249] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1261] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1273] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1285] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1297] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1309] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1321] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1333] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1345] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1357] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1369] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1381] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1393] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1405] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1417] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1429] FALSE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1441] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1453] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1465] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1477] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1489] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1501] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1513] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1525] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1537] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1549] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1561] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1573] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1585] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1597] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1609] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [1621] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1633] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1645] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE FALSE TRUE TRUE
## [1657] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1669] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE
## [1681] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1693] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1705] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1717] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [1729] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1741] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [1753] FALSE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [1765] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1777] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [1789] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [1801] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1813] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1825] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1837] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1849] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1861] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1873] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1885] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1897] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1909] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1921] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE FALSE FALSE TRUE
## [1933] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1945] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1957] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [1969] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [1981] TRUE FALSE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE FALSE FALSE
## [1993] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE FALSE
## [2005] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2017] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2029] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2041] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2053] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2065] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [2077] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2089] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [2101] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2113] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2125] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE FALSE
## [2137] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2149] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE FALSE FALSE TRUE FALSE
## [2161] TRUE TRUE FALSE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2173] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2185] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2197] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2209] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [2221] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2233] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2245] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2257] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2269] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2281] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2293] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2305] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2317] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2329] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2341] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2353] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2365] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2377] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2389] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2401] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2413] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2425] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE
## [2437] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2449] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2461] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2473] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [2485] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2497] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2509] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2521] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2533] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2545] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2557] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2569] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2581] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2593] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2605] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2617] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2629] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2641] TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [2653] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2665] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2677] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2689] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2701] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2713] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2725] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2737] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2749] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [2761] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2773] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2785] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2797] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2809] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2821] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2833] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2845] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2857] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [2869] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2881] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE
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## [2905] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2917] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2929] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2941] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2953] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2965] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2977] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [2989] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3001] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [3013] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [3025] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3037] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3049] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3061] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3073] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3085] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3097] TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [3109] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3121] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3133] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [3145] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3157] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3169] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3181] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3193] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [3205] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3217] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3229] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3241] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3253] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3265] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [3277] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3289] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3301] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3313] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3325] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [3337] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3349] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3361] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3373] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3385] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3397] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3409] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3421] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3433] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3445] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3457] TRUE FALSE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3469] TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [3481] FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3493] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3505] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3517] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3529] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3541] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3553] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3565] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3577] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3589] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3601] TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [3613] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE
## [3625] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3637] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3649] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3661] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [3673] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3685] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3697] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3709] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3721] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3733] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3745] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3757] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3769] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3781] TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [3793] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3805] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3817] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3829] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3841] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3853] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3865] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3877] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3889] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3901] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3913] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3925] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3937] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3949] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3961] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [3973] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3985] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [3997] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4009] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4021] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4033] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4045] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4057] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4069] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4081] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE FALSE
## [4093] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4105] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4117] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4129] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4141] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4153] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4165] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4177] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4189] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE FALSE TRUE
## [4201] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4213] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4225] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4237] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4249] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4261] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4273] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4285] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4297] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4309] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4321] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4333] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4345] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4357] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [4369] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4381] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4393] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [4405] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4417] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4429] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4441] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4453] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4465] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4477] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4489] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4501] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4513] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4525] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4537] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4549] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4561] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4573] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [4585] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4597] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4609] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4621] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4633] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4645] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4657] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4669] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4681] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4693] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4705] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4717] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4729] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4741] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4753] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4765] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4777] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4789] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4801] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4813] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4825] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [4837] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4849] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4861] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4873] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4885] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4897] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4909] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4921] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4933] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4945] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4957] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4969] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [4981] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [4993] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5005] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5017] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5029] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5041] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5053] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5065] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5077] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5089] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5101] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5113] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE
## [5125] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5137] TRUE TRUE TRUE FALSE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5149] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [5161] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [5173] TRUE TRUE TRUE FALSE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [5185] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5197] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5209] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE FALSE TRUE TRUE TRUE
## [5221] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5233] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5245] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5257] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5269] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5281] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5293] TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [5305] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5317] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5329] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5341] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [5353] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5365] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5377] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5389] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5401] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5413] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5425] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5437] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [5449] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5461] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5473] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5485] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5497] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5509] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [5521] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5533] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5545] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5557] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5569] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5581] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5593] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5605] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5617] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5629] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5641] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5653] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5665] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5677] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5689] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5701] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5713] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5725] TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE
## [5737] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5749] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5761] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5773] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5785] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5797] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5809] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5821] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5833] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5845] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5857] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5869] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5881] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5893] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5905] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5917] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5929] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5941] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5953] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [5965] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [5977] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [5989] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6001] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6013] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6025] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6037] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6049] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6061] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6073] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6085] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6097] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6109] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6121] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [6133] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6145] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6157] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6169] TRUE TRUE TRUE TRUE TRUE FALSE TRUE FALSE TRUE TRUE TRUE TRUE
## [6181] TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6193] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [6205] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [6217] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6229] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6241] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6253] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6265] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6277] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6289] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6301] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6313] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6325] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6337] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6349] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6361] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE
## [6373] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE
## [6385] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6397] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6409] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6421] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6433] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6445] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE
## [6457] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6469] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6481] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6493] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6505] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6517] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6529] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6541] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6553] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6565] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6577] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6589] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6601] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6613] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6625] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE
## [6637] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6649] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6661] TRUE TRUE TRUE TRUE TRUE FALSE TRUE FALSE TRUE TRUE TRUE TRUE
## [6673] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6685] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6697] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6709] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6721] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6733] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6745] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6757] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6769] TRUE TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE
## [6781] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6793] TRUE TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE
## [6805] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6817] TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6829] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6841] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6853] TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6865] TRUE TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6877] TRUE TRUE TRUE FALSE TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE
## [6889] TRUE TRUEdat_analysis2[!complete.cases(dat_analysis2),]## # A tibble: 145 × 2
## BABAE TUET
## <dbl> <dbl>
## 1 NA 1.08
## 2 2 NA
## 3 3 NA
## 4 2 NA
## 5 2 NA
## 6 2 NA
## 7 2 NA
## 8 2 NA
## 9 6 NA
## 10 NA NA
## # ℹ 135 more rowsdat_analysis3 <- na.omit(dat_analysis2)
head(dat_analysis3)## # A tibble: 6 × 2
## BABAE TUET
## <dbl> <dbl>
## 1 2 0.463
## 2 2 1.08
## 3 2 -0.658
## 4 6 -0.658
## 5 4 -0.604
## 6 6 -0.658TUET_bet2 <- summary (dat_analysis3$TUET)
TUET_bet_df3<- as.data.frame(t(TUET_bet2))Tablo 4 Veri Temizliği Sonrası Yeni Betimsel İstatistik
TUET_bet_df_3 <- TUET_bet_df3 %>% select(-Var1)
TUET_bet_df_3 <- TUET_bet_df_3 %>% rename(Betimsel=Var2 , Değer= Freq)
knitr::kable(TUET_bet_df_3, round(2))| Betimsel | Değer |
|---|---|
| Min. | -2.537500 |
| 1st Qu. | -0.658300 |
| Median | 0.028100 |
| Mean | -0.112966 |
| 3rd Qu. | 1.084400 |
| Max. | 1.084400 |
1.6 Kruskal Wallis Testi Bulguları
Şimdi Kruskal Wallis testini yapmak için yeni bir veri çerçevesi oluşturalım. Bu veri çerçevesinde eksik veri bulunmayacak ve analize hazır olacak.
PISA2018_Kruskal <- data.frame(BABAE, dat_analysis2$TUET, check.rows = FALSE, check.names = TRUE, stringsAsFactors = default.stringsAsFactors())kruskal_table <- kruskal.test(dat_analysis2$TUET~BABAE, data=PISA2018_Kruskal)‘TUET’ değişkeni ‘BABAE’ değişkeninin kategorileri arasında farklılık gösterip göstermediğine dair test edilmiştir. Ki-kare değeri 18.457 olarak hesaplanmıştır. Baba eğitim düzeyinde 7 farklı kategori olduğu için serbestlik derecesi 6’dır. 0-yok, 6-doktora olarak ifade edilebilir. Anlamlı bir farklılık olup olmadığına dair yapılan hesaplamalar sonucunda p-değeri 0.005 olarak bulunmuştur. Bu değer 0.05’ten küçük olduğu için H0 hipotezi reddedilir ve baba eğitim düzeyi ile okulda düzenlenen etkinliklere yönelik tutum arasında anlamlı bir farklılık olduğu sonucuna ulaşılır.
Bu Kruskal-Wallis testine göre, ‘BABAE’ değişkeninin farklı seviyeleri veya kategorileri arasında ‘TUET’ değişkeninde anlamlı farklılıklar olduğu sonucuna varılmıştır.
Etki Büyüklüğü Etki büyüklüğünü hesaplamak için rstatix paketinin indirilmesi gerekmektedir. Buradaki kruskal_effsize fonksiyonu ile etki büyüklüğü hesaplanabilir.
library(rstatix)##
## Attaching package: 'rstatix'## The following object is masked from 'package:stats':
##
## filterkruskal_efftab <- kruskal_effsize(
PISA2018_Kruskal,
dat_analysis2$TUET~BABAE,
ci = FALSE,
conf.level = 0.95,
ci.type = "perc",
nboot = 1000
)Hesaplanan etki büyüklüğü küçük bir etki büyüklüğünü göstermektedir. Tüm bu istatistiksel değerler Tablo 3’te verilmiştir.
Tablo 3 Kruskal Wallis Test Bulguları
| Kruskal-Wallis chi square | df | p | Cohen-h | n |
|---|---|---|---|---|
| 18.45689 | 6 | .005 | 0.001809805 | 6890 |
Rapor
1.7 Örnek Makale
(Çalışkan and Baloğlu, n.d.) BİLSEM’e Öğrenci Aday Gösteren ve Göstermeyen Öğretmenlerin Üstün Yetenekliler Eğitimine İlişkin Özyeterliliklerinin İncelenmesi adlı araştırmalarında sınıf öğretmenlerinin mesleki özyeterlilik puan ortalamaları; yaş, kıdem ve üstün yetenekliler eğitimine ilişkin görüşlerine göre anlamlı farklılık gösterip göstermediği Kruskal Wallis testiyle analiz edilmiştir. ÖZ yeterlilik alt alanları; genel özyeteterlilik, temel alan bilgisi, öğretim model ve yöntemleri, bireyselleştirilmiş eğitim programı, tanılama ve değerlendirme, öğretmen nitelik ve sorumlulukları, sınıf yönetimi, materyal geliştirme/teknoloji, işbirliği/aile eğitimi olmak üzere farklı puanlar dahilinde hesaplanmıştır. Yaş grubuna, 22-32, 33-43, 44-54, 55-65, göre öğretmenlerin öz yeterlilik puan ortalamaları anlamlı düzeyde farklılaşmadığına ulaşılmıştır. Ayrıca kıdem yıllarına göre 11-21, 22-32, 33-43, öz yeterlilik puanlarının anlamlı düzeyde farklılaşmadığına ulaşılmıştır. Üstün yetenekliler eğitimine ilişkin görüşler değerlendirildiğinde ise yine farklılaşma olmadığına ulaşılmıştır.
Çalışkan, Kadir, and Mustafa Baloğlu. n.d. “BİLSEM’e Öğrenci Aday Gösteren ve Göstermeyen Öğretmenlerin Üstün Yetenekliler Eğitimine İlişkin Özyeterliliklerinin İncelenmesi.”
Hecke, T. Van. 2012. “Power Study of Anova Versus Kruskal-Wallis Test.” Journal of Statistics and Management Systems 15 (2-3): 241–47. https://doi.org/10.1080/09720510.2012.10701623.
Pallant, Julie. 2020. SPSS Survival Manual: A Step by Step Guide to Data Analysis Using IBM SPSS. 7th ed. London: Routledge. https://doi.org/10.4324/9781003117452.