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Perancangan dan Analisis Percobaan

Perancangan dan Analisis Percobaan. Pendahuluan Teknologi baru Pengujian teknologi Percobaan Prosedur pengujian Penerapan. Istilah dalam Perancangan Percobaan. Perlakuan Unit percobaan Satuan pengamatan Faktorial Model linier Model Tetap Model Acak

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Perancangan dan Analisis Percobaan

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  1. Perancangan dan Analisis Percobaan • Pendahuluan • Teknologi baru • Pengujian teknologi • Percobaan • Prosedur pengujian • Penerapan

  2. Istilah dalam Perancangan Percobaan • Perlakuan • Unit percobaan • Satuan pengamatan • Faktorial • Model linier • Model Tetap • Model Acak • Model Campuran

  3. Tahap percobaan • Formulasi masalah dan atau penyusunan hipotesis • Pemilihan perlakuan • Pemilihan rancangan percobaan • Pelaksanaan percobaan • Pengumpulan data • Analisis dan interpretasi

  4. Klasifikasi rancangan percobaan • Rancangan Perlakuan Satu faktor Dua faktor atau lebih • Rancangan Lingkungan Rancangan Acak Lengkap Rancangan Acak Kelompok Lengkap Rancangan Bujur Sangkar Latin Rancangan Tersarang

  5. PRINSIP PERANCANGAN PERCOBAAN • Ulangan (replication) • Pengacakan (randomization) • Pengendalian lokasi (local control)

  6. Penyajian data pengamatan

  7. Notasi Penjumlahan  • y1. =  y1j =y11+ y12+ …. + y1k •  yi. = y1. + y2 . + y3. + … •  yij = y.. = y11 + y12 + …. •  yij2 = y112 + y122 +…. •  yijk = y… = y111 + y112 + ….

  8. ..notasi jumlah •  yi + a = y1+a + y2+a+ ….. yn+a = an +  yi •  a yi = a y1 + a y2 + …. + a yn = a  yi •  k yij = k y11 + k y12 + = k  yij

  9. Notasi jumlah • Untuk subskrip i=1 hingga a, j=1 hingga n •  ỹi. yij = ỹ1. y11 + …. + ỹ1. y1n+ ỹ2. y21+ …. + ỹ2. y2n + ………………………………….. ỹa. ya1 + … + ỹa. yan = ỹ1. y1j + ỹ2. y2j+ ….. + ỹa. yaj = ỹ1. ỹ1. n + ỹ2. ỹ2. n + ….. + ỹa. ỹa. n = n ỹi.2

  10. Notasi jumlah •  ỹ.. yij = ỹ.. y11+ ỹ.. y12 + ….. + ỹ.. y1n + ỹ.. y21+ ỹ.. y12 + ….. + ỹ.. y1n + …………………………………………………… ỹ.. ya1+ ỹ.. ya2 + ….. + ỹ.. yan = ỹ..  yij = ỹ.. an ỹ.. = an ỹ..2

  11. Notasi jumlah •  ỹi.2 = ỹ1.2+ỹ1.2 + …. + ỹ1.2 + ỹ2.2 +ỹ2.2 + …. + ỹ2.2 + ………………………………….. ỹa.2 + ỹa.2 + …. + ỹa.2 = n  ỹi.2

  12. Notasi jumlah • Tunjukkan bahwa  (ỹi. - ỹ..) (yij - ỹi. ) = 0 atau  ỹi. yij - ỹ.. yij- ỹi. ỹi. - ỹ.. ỹi. = 0

  13. Latihan dengan MS-Exceldata dalam tabel 2 arah

  14. Berdasarkan data diatas hitung: •  yij ; ( yij )2 •  yij2 ;  yij2 – (y..2)/20 •  ỹi. yij ;  ỹ.. yij •  ỹi.2 ;  ỹ.. ỹi. •  ỹi. ;  yi.2 •  (ỹi. - ỹ..) (yij - ỹi. )

  15. Dari data diatas susun tabel

  16. Fasilitas MS-EXCEL –untuk Tabel statistik • Tabel f : =finv(prob;db1;db2) • Tabel X: =chiinv(prob;db) • Tabel t : =tinv(prob;db) • Random Number Generation (Tools, Data analysis, random number generation, uniform distribution) • Invers matrix: minverse(array)

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