MISSING DATA ATAU DATA RUSAK Missing data occurs

Missing data occurs whenever a valid observation is not available for any one of

Common causes of missing data Improper treatment (nonapplication, incorrect dose, wrong timing) Destruction of

The new data do not increasing the experiment error. Experiment error = ( ij)2

Missing data in RCBD 0 If missing data = a 10/16/2021 Erlina Ambarwati 5

Anova df total = (t. r-1)-m df error = [(t-1)(r-1)]-m m = numbers of

Example 1 A B I 61 49 II 55 50 III 54 a IV

SV Block df 3 Treatment 3 Error (9 -1)-1 Total (15 -1)-1 10/16/2021 186,

Example 2 A B I 61 49 II 55 50 III 54 a IV

Elimination/substitution 9 a+b=471 9 a+81 b=4311 -80 b=-3840 b=48 9 a+b=471 9 a+48=471 a=47

Konsekuensi adanya missing data untuk uji lanjut dg LSD a. Jika tidak ada missing

Cara mencari ulangan efektif r 1 dan r 2 Perhatikan treatment tersebut pada tiap

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MISSING DATA ATAU DATA RUSAK

Missing data occurs whenever a valid observation is not available for any one of the experimental unit Loss information Nonapplicability of standard analysis of variance Erlina Ambarwati 10/16/2021 2

Common causes of missing data Improper treatment (nonapplication, incorrect dose, wrong timing) Destruction of experimental plant (physical damage, pest damage, poor germination) Lost of harvested samples Illogical data (recognized after recorded and transcribed) Erlina Ambarwati 10/16/2021 3

The new data do not increasing the experiment error. Experiment error = ( ij)2 data ij=0 Erlina Ambarwati missing 10/16/2021 4

Missing data in RCBD 0 If missing data = a 10/16/2021 Erlina Ambarwati 5

10/16/2021 Erlina Ambarwati 6

Anova df total = (t. r-1)-m df error = [(t-1)(r-1)]-m m = numbers of missing data Erlina Ambarwati 10/16/2021 7

Example 1 A B I 61 49 II 55 50 III 54 a IV 54 46 Yi. 224 145+a C D 49 49 48 47 49 46 149+a 46 50 192 753+a 16 a-8 a+a=423 a=47 or 10/16/2021 Erlina Ambarwati 8

SV Block df 3 Treatment 3 Error (9 -1)-1 Total (15 -1)-1 10/16/2021 186, 67 Erlina Ambarwati 9

Example 2 A B I 61 49 II 55 50 III 54 a IV 54 46 Yi. 224 145+a C D 49 49 b 47 152+b 49 46 149+a 46 50 144+b 192 705+a+b i) 16 a=4(145+149+2 a)-(705+a+b) 9 a+b=471 ii) 16 b=4(152+144+2 b)-(705+a+b) a+9 b=479 10/16/2021 Erlina Ambarwati 10

Elimination/substitution 9 a+b=471 9 a+81 b=4311 -80 b=-3840 b=48 9 a+b=471 9 a+48=471 a=47 Erlina Ambarwati 10/16/2021 11

Konsekuensi adanya missing data untuk uji lanjut dg LSD a. Jika tidak ada missing data b. Mengandung satu missing data c. Mengandung dua missing data r 1 dan r 2 : angka ulangan efektif Erlina Ambarwati 10/16/2021 12

Cara mencari ulangan efektif r 1 dan r 2 Perhatikan treatment tersebut pada tiap blok dalam hubungannya dengan treatment yang lain yang sama-sama mengalami missing data: Bila treatment I tidak ada nilainya 0 Bila treatment I ada, treatment II tidak ada nilainya ½ Bila treatment I dan treatment II sama-sama adanya nilainya 1 Erlina Ambarwati 10/16/2021 13

Contoh 1 2 3 4 5 A B Ө C D Ө B D 1 1 1 2 1/2 0 3 1 1 4 0 1/2 5 1 1 3½ 3½ r 1 = 3 ½ r 2 = 3 ½ Erlina Ambarwati 10/16/2021 14