# Missing data occurs whenever a valid observation is not available for any one of the experimental unit Loss information Nonapplicability of standard analysis.

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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 4/25/2015 2 Erlina Ambarwati

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) 4/25/2015 3 Erlina Ambarwati

The new data do not increasing the experiment error.  Experiment error =   (  ij ) 2 missing data  ij =0 4/25/2015 4 Erlina Ambarwati

Missing data in RCBD 0 If missing data = a 4/25/2015 5 Erlina Ambarwati

4/25/2015 6 Erlina Ambarwati

Anova  df total = (t.r-1)-m  df error = [(t-1)(r-1)]-m  m = numbers of missing data 4/25/2015 7 Erlina Ambarwati

Example 1 IIIIIIIV Y i. A61555454224 B4950a46145+a C49484946192 D49474650192 149+a753+a 16a-8a+a=423 a=47 or 4/25/2015 8 Erlina Ambarwati

SVdfBlock3 Treatment3186,67 Error(9-1)-1 Total(15-1)-1 4/25/2015 9 Erlina Ambarwati

Example 2 IIIIIIIV Y i. A61555454224 B4950a46145+a C49b4946144+b D49474650192 152+b149+a705+a+b i) 16a=4(145+149+2a)-(705+a+b) 9a+b=471 ii) 16b=4(152+144+2b)-(705+a+b) a+9b=479 4/25/2015 10 Erlina Ambarwati

Elimination/substitution 9a+b=471 9a+81b=4311 -80b=-3840 b=48 9a+b=471 9a+48=471 a=47 4/25/2015 11 Erlina Ambarwati

Konsekuensi adanya missing data untuk uji lanjut dg LSD 4/25/2015Erlina Ambarwati 12 a. Jika tidak ada missing data b. Mengandung satu missing data c. Mengandung dua missing data r 1 dan r 2 : angka ulangan efektif

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 4/25/2015Erlina Ambarwati 13

Contoh 4/25/2015Erlina Ambarwati 14 12345 A B Ө C D Ө BD 111 21/20 311 40 511 3 ½ r 1 = 3 ½ r 2 = 3 ½

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