Upload
others
View
3
Download
0
Embed Size (px)
Citation preview
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
Inferensia Sampel Kecil untuk Populasi Normal(Small-sample Inferences for Normal Populations)
Many investigations, especially those involving costly
experiments, require statistical inferences to be drawn
from small samples ( n ≤ 30, as a rule of thumb).
Since the sample mean ത𝑋 will still be used for
inferences about μ, we must address the question,
“What is the sampling distribution of when n is not
large?”
With the central limit theorem no longer applicable,
more information concerning the populaon is required
for the development of statistical procedures.
2
Sampel Besar (n > 30) Sebaran Normal (Z)
Sampel Kecil (n < 30) Sebaran t-Student
Jumlah
Sampel (n)
3
derajat bebas4
5
t(0.10, db=5) = 1.476
6
7
8
9
10
11
12
𝑇hit =ത𝑋 − 𝜇0
𝑆/ 𝑛
Tolak H0 jikap-value < α
13
14
15
16
17
18
19
Selesaikan contoh soal ini menggunakan Minitab, kemudian
bandingkan hasilnya dengan jawaban sebelumnya.
20
Johnson (Exercise 9.12), hlm. 361
21
Johnson (Exercise 9.23), hlm. 362
22
Johnson (Exercise 9.23), hlm. 362
23
Selesaikan soal ini menggunakan Minitab, kemudian
bandingkan hasilnya dengan jawaban Anda pada No.2 di
atas.
Johnson (Exercise 9.29), hlm. 363
24
Johnson (Exercise 9.63), hlm. 377
25
Johnson (Exercise 9.63), hlm. 377
26
Selesaikan soal ini menggunakan Minitab, kemudian
bandingkan hasilnya dengan jawaban Anda pada No.5 di
atas.
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.
27
Bisa di-download di
kusmansadik.wordpress.com
28
29