Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana...
Transcript of Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana...
![Page 1: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/1.jpg)
Dr. Kusman Sadik, M.Si
Sekolah Pascasarjana Departemen Statistika IPB
Semester Ganjil 2019/2020
Analisis Statistika (STK511)
IPB University─ Bogor Indonesia ─ Inspiring Innovation with Integrity
Peubah Acak dan
Sebaran Peluang (Probability Distribution)
![Page 2: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/2.jpg)
Peubah acak adalah suatu nilai numerik yang
berkaitan dengan setiap keluaran (outcome) suatu
percobaan (experiment).
Misalkan ada 10 benih kedelai hasil kultur jaringan (in
vitro culture) yang diletakkan pada suatu media.
Kemudian didefinisikan suatu peubah acak X yaitu
banyaknya benih kedelai yang tumbuh dengan baik.
Setiap nilai suatu peubah acak selalu memiliki nilai
peluang tertentu yaitu 0 ≤ p(x) ≤ 1
2
![Page 3: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/3.jpg)
A random variable is said to be discrete if it has either a
finite number of values or infinitely many values that can
be arranged in a sequence (data count).
If a random variable represents some measurement on a
continuous scale and is therefore capable of assuming all
values in an interval, it is called a continuous random
variable.
Some examples of continuous random variables are the
height of an adult male, the daily milk yield of a holstein,
and the survival time of a patient following a heart attack.
3
![Page 4: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/4.jpg)
Sebaran peluang (probability distribution) peubah acak
diskret X adalah senarai (list) dari setiap nilai X dengan nilai
peluangnya yang bersesuaian.
Jika X didefinisikan sebagai banyaknya sisi muka yang
muncul ketika tiga koin seimbang dilemparkan, tentukan
sebaran peluang bagi p.a. X.
4
![Page 5: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/5.jpg)
5
![Page 6: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/6.jpg)
6
![Page 7: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/7.jpg)
7
![Page 8: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/8.jpg)
8
![Page 9: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/9.jpg)
9
![Page 10: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/10.jpg)
10
![Page 11: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/11.jpg)
11
![Page 12: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/12.jpg)
12
![Page 13: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/13.jpg)
13
![Page 14: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/14.jpg)
Nilai harapan p.a. X yang
didefinisikan sebagai
banyaknya sisi muka yang
muncul ketika tiga koin
seimbang dilemparkan
14
![Page 15: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/15.jpg)
15
![Page 16: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/16.jpg)
16
![Page 17: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/17.jpg)
17
![Page 18: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/18.jpg)
18
![Page 19: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/19.jpg)
1205.4.3.2.1!5
63.2.1!3
1!0
)!(!
!
xnx
n
x
n
19
![Page 20: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/20.jpg)
10)2.1(3.2.1
5.4.3.2.1
!2!3
!5
)!35(!3
!5
3
5
20
![Page 21: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/21.jpg)
21
![Page 22: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/22.jpg)
22
![Page 23: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/23.jpg)
23
Selesaikan contoh soal ini menggunakan Minitab,
kemudian bandingkan hasilnya dengan jawaban
sebelumnya.
![Page 24: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/24.jpg)
24
![Page 25: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/25.jpg)
25
![Page 26: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/26.jpg)
Johnson (Exercise 5.24), hlm. 184
26
![Page 27: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/27.jpg)
Johnson (Exercise 5.30), hlm. 191
27
![Page 28: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/28.jpg)
Johnson (Exercise 5.67), hlm. 206
28
![Page 29: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/29.jpg)
Johnson (Exercise 5.67), hlm. 206
29
Selesaikan soal ini menggunakan Minitab, kemudian
bandingkan hasilnya dengan jawaban Anda pada No.3 di
atas.
![Page 30: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/30.jpg)
Johnson (Exercise 5.68), hlm. 206
30
![Page 31: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/31.jpg)
Johnson (Exercise 5.68), hlm. 206
31
Selesaikan soal ini menggunakan Minitab, kemudian
bandingkan hasilnya dengan jawaban Anda pada No.5 di
atas.
![Page 32: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/32.jpg)
Johnson, R.A. and Bhattacharyya, G.K. 2010.
Statistics, Principles and Methods 6th. John Wiley
& Sons, Inc., New York.
Montgomery, D.C. 2013. Design and Analysis of
Experiments 8th. John Wiley & Sons, Inc.,
Canada.
32
![Page 33: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/33.jpg)
Bisa di-download di
kusmansadik.wordpress.com
33
![Page 34: Analisis Statistika (STK511) · 2019-08-26 · Dr. Kusman Sadik, M.Si Sekolah Pascasarjana Departemen Statistika IPB Semester Ganjil 2019/2020 Analisis Statistika (STK511) IPB University](https://reader031.fdocuments.net/reader031/viewer/2022012918/5e25b51a62aa661ea17d13e2/html5/thumbnails/34.jpg)
34