TIU : Students are able to identify natural phenomena which are examples of statistical method problems [C3,A3]
No Subject and Sub‐topic
Question Numbers Total Questions Weights C2 C3 C4 (%)
1 2 3 4 5 6
1. Subjet‐1 4 4 16
2. Subject‐2 2 2 8
3. Subject‐3 4 4 16
4. Subject‐4 4 4 16
5. Subject‐5 4 4 16
6. Subject‐6 4 4 16
7. Subject‐7 3 3 12
Number of item questions: 10 15 25
Percentage (%): 100 100
No Special Learning Objectives (TIK) Questions Number
13
C3 C4 P3 P4 A3 A4 Question Numbers
Weight
%
1 2 3 4 4 5 6 7 8 9
1. TIK‐1 2 1 1 4 16
2. TIK‐2 1 1 2 8
3. TIK‐3 1 1 2 4 16
4. TIK ‐4 1 1 1 1 4 16
5. TIK ‐5 1 1 1 1 4 16
6. TIK ‐6 2 1 1 4 16
7. TIK ‐7 1 1 1 3 12
Number of item questions: 3 7 4 2 4 5 25
Percentage (%): 12 28 16 8 16 20 100
14
Example Description Test
Question :
1. A balanced dice is thrown twice. If X states how many times the number 4 appears and Y states how many times the number 6 appears from the two throws, specify:
a. Shared distribution for X and Y
b. Calculate 𝑃 𝑋, 𝑌 ∈ 𝐴 for 𝐴 𝑋, 𝑌 |𝑥 2𝑦 3
Answer a:
f(X,Y) X
Total h(y)
0 1 2
Y
0 16/36 8/36 1/36 25/36
1 8/36 2/36 0 10/36
2 1/36 0 0 1/36
Total g(x) 25/36 10/36 1/36 1
𝑔 0 𝑃 𝑋 0 𝑓 0,0 𝑓 0,1 𝑓 0,2 16
36 8 36
1 36
25 36
𝑔 1 𝑃 𝑋 1 10
36, 𝑔 2 𝑃 𝑋 2 1 36
ℎ 0 𝑃 𝑌 0 𝑓 0,0 𝑓 0,1 𝑓 0,2 16
36 8 36
1 36
25 36
ℎ 1 𝑃 𝑌 1 10
36; ℎ 2 𝑃 𝑌 2 1 36
15
table the Marginal is:
X 0 1 2
𝑔 𝑋 25/36 10/36 1/36
Y 0 1 2
ℎ 𝑌 25/36 10/36 1/36
Answer b:
𝑃 𝑋, 𝑌 ∈ 𝐴 𝑋, 𝑌 |𝑥 2𝑦 3 ; 𝑥 0, 1, 2 𝑑𝑎𝑛 𝑦 0, 1, 2
𝑓 0,0 𝑓 0,1 𝑓 1,0 𝑓 1,1 𝑓 2,0 16
36 8 36
8 36
2 36
1 36
35 36
Scoring Guidelines
No. Assessed Aspects / Concepts Skor
1 Able to make a shared distribution table of 2 variables as shown in the answers a. and calculation
𝑔 0 𝑃 𝑋 0 𝑓 0,0 𝑓 0,1 𝑓 0,2 16
36 8 36
1 25 36
36
𝑔 1 𝑃 𝑋 1 10
36, 𝑔 2 𝑃 𝑋 2 1
36
30
16
ℎ 0 𝑃 𝑌 0 𝑓 0,0 𝑓 0,1 𝑓 0,2 16
36 8 36
1 25 36
36
ℎ 1 𝑃 𝑌 1 10
36; ℎ 2 𝑃 𝑌 2 1
36
2 Able to make marginal tables from each variable
a 𝑔 𝑥 ; 𝑥 0, 1, 2
𝑔 0 25
36; 𝑔 1 10
36; 𝑔 2 1 36
15
b ℎ 𝑦 ; 𝑦 0, 1, 2
ℎ 0 25
36; ℎ 1 10
36; ℎ 2 1 36
15
3 Able to calculate opportunities along with the construction of definitions given
𝑃 𝑋, 𝑌 ∈ 𝐴 𝑋, 𝑌 |𝑥 2𝑦 3 ; 𝑥 0, 1, 2 𝑑𝑎𝑛 𝑦 0, 1, 2 𝑓 0,0 𝑓 0,1 𝑓 1,0 𝑓 1,1 𝑓 2,0
16 36
8 36
8 36
2 36
1 36
35 36
40
Score total 100
17
1
Study Program Name Bachelor, mathematics Department, FMKSD-ITS Course Name Statistical Methods
Course Code KM184305
Semester 3
Sks 3
Supporting Lecturer Dra. Farida A.W., MS / Drs. Sentot D.S., M.Si / Dra. Nuri Wahyuningsih, M.Kes
Materials
• Descriptive Statistics
• Distribution of random variables
• Discrete and continuous special contributions
• Distribution of average sampling
• Guess hose of a parameter
• Hypothesis Testing
• Regression Analysis Learning
Outcome
[C2] Able to explain basic concepts of mathematics that includes the concept of a proof construction both logically and analytically, modeling and solving the simple problems, as well as the basic of computing.
[C5] Able to choose decisions and alternative solutions using data and information analysis based on an attitude of leadership, creativity and have high integrity in completing work individually or in a team.
COURSE LEARNING OUTCOME
1. Students are able to understand simple statistical problems, analyze with statistical basic methods, and solve them.
2. Students are able to identify data, analyze it using appropriate basic statistical methods, present it orally and written in academic way.
3. Students are able to be responsible for the conclusions drawn based on data and methods which have learnt during the course.
2
Meets Sub Course Learning
Outcome Breadth of Materials Learning Methods Time
Estimation Student Learning Experiences
Assessment Criteria
and Indicator Weight ing Assess
ment (%) 1-3 Mahasiswa mampu
explain and apply descriptive statistics
• Lecture Contract
• Understanding statistics
• Source, type and how to get data.
• Data scale and sum notation.
• Presentation of data
• Statistical measurements for data include the measure of centralization,
deployment, and the size of the spurt.
[Ref. 2 things: 1-19, 4 things:
1-10, 25-26]
[Ref. 2 things: 47-63, 4 things:
13-24]
[Ref. 2 things: 21-45,57-63, 4 things:
27-47]
• Lectures,
• Group discussion,
Task 1 :
• Literature review,
• Do a resume from literature review,
3x(2x50’) Non-Tests:
Lecture notes
Understand the content of the course
15 %
3
4-6 Mahasiswa mampu
Describes and determines the distribution of discrete random variables
• The definition of random variables
• Opportunity
distribution of random variables
• Average and variance of the opportunity distribution
[Ref. 1 thing: 34-41, 2 things: 114-
142 4 things:
108-113]
• Lectures,
• Group discussion,
Task-2:
• Literature review,
• Conduct a resume from literature review,
3x(2x50’) Non-Tests:
Lecture notes
Understand the content of the course
Non-Tests:
Lectur e notes
7-9 Mahasiswa mampu
calculate specific distribution
opportunities, either discrete or
continuous, by looking at the tables
• Distribution of Discrete Opportunities ie Uniform, Binomial, Multinomial, Binomial Negative, Geometric, Hipergeometric and Poisson.
• Distribution of Continuous Opportunities ie Uniform, Normal, Chi-Square, t and F.
[Ref. 1 thing: 90-112,120-144, 2 things: 152-173, 180-
196, 3 things:
• Lectures,
• Group discussion,
Task-3:
• Literature review,
• Conduct a resume from literature review,
3x(2x50’) Non-Tests:
Lecture notes
Understand the content of the course
Non-Tests:
Lectur e notes
4
108-119,
4 things: 145-159, 193-
208]
10-11 Midterm Exam
12-14 Mahasiswa mampu
explain and define the average sampling distribution
• Average Sampling Distribution
• Distribution Approach t
• Distribution of Average Difference Sampling [Ref.1 pp: 173 - 202 2 things: 206-235]
• Lectures,
• Group discussion,
Task-4:
• Literature review,
• Conduct a resume from literature review,
3x(2x50’) Non-Tests:
Lecture notes
Understand the content of the course
Non-Tests:
Lectur e notes
15-17 Mahasiswa mampu
determine the alleged hose for the
distribution parameters and test the distribution parameters
• Good predictor characteristics.
• Alleged hose for average parameters and variants
• Sample size.
• Understanding of statistical hypotheses, type I and II errors
• Test of average parameters and variance
• Uncertainty test.
[Ref. 1 thing: 256-291, 2 things: 287-337, 4 things: 255-275]
• Lectures,
• Group discussion, Task-5:
• Literature review,
• Conduct a resume from literature review,
3x(2x50’) Non-Tests:
Lecture notes
Understand the content of the course
Non-Tests:
Lectur e notes
5
Reference Main :
1. Walpole, R.E, Pengantar statistika, edisi 3, Gramedia, Jakarta, 2002
2. Walpole, R.E, Ilmu Peluang dan Statistika untuk Insinyur dan Ilmuwan, edisi 3, ITB, Bandung, 2000 3. Gouri, BC., Johnson RA, Statistical Concepts and Methods, John Wiley and Sons, New York, 1977 4. Walpole, RE, ProChapterility and Statistics for Engineer and Scientis, , 2016
Supporting :
1. Draper NR, Smith H., Analisis Regresi Terapan, Gramedia, Jakarta, 1992 2. Spiegel RM, ProChapterility and Statistics, Kin Keong Print, Singapore, 1985
18-21 Mahasiswa mampu
determine a simple linear regression model
• Understanding regression and correlation.
• Estimation and testing of Model parameters.
• Testing model assumptions.
[Ref.1 pp: 300-329, 2 things: 340-361, 6 things: 1-51, 135-169]
• Lectures,
• Group discussion,
Task-6:
• Literature review,
• Conduct a resume from literature review,
4x(2x50’) Non-Tests:
Lecture notes
Understand the content of the course
Non-Tests:
Lectur e notes
22-24 Final Exam
Course
Course Name : Statistical Methods
Course Code : KM184305
Credit : 3
Semester : 3
Description of Course
This course is a basic course that is a prerequisite for taking some further courses in the department of Mathematics. This course deals with basic concepts of statistics, descriptive statistics, random variable distributions, special opportunity distributions, average sampling distributions, hose estimates of parameters, hypothesis tests, and simple linear regression. The introduction of the Minitab program is done as a tool to solve simple problems related to data processing and analysis.
Learning Outcome
[C2]
Able to explain basic concepts of mathematics that includes the concept of a proof construction both logically and analytically, modeling and solving the simple problems, as well as the basic of computing.
[C5] Able to choose decisions and alternative solutions using data and information analysis based on an attitude of leadership, creativity and have high integrity in completing work individually or in a team.
Course Learning Outcome
1. Students are able to understand simple statistical problems, analyze with statistical basic methods, and solve them.
2. Students are able to identify data, analyze it using appropriate basic statistical methods, present it orally and written in academic way.
3. Students are able to be responsible for the conclusions drawn based on data and methods which have learnt during the course.
Main Subject
Basic concepts of statistics, descriptive statistics, random variable distribution, special opportunity distributions, average sampling distributions, hose estimates of parameters, hypothesis testing, and simple linear regression Prerequisites
Mathematics II Reference
1. Walpole, R.E, Pengantar statistika, edisi 3, Gramedia, Jakarta, 2002 2. Walpole, R.E, Ilmu Peluang dan Statistika untuk Insinyur dan Ilmuwan,
edisi 3, ITB, Bandung, 2000
3. Gouri, BC., Johnson RA, Statistical Concepts and Methods, John Wiley and Sons, New York, 1977
4. Walpole, RE, Probability and Statistics for Engineer and Scientis, , 2016
Supporting Reference
1. Draper NR, Smith H., Analisis Regresi Terapan, Gramedia, Jakarta, 1992 2. Spiegel RM, Probability and Statistics, Kin Keong Print, Singapore, 1985