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COURSE SYLLABUS
STATISTICAL METHODS IN PHYSICS
1 Course Title: STATISTICAL METHODS IN PHYSICS
2 Course Code: FZK4107
3 Type of Course: Optional
4 Level of Course: First Cycle
5 Year of Study: 4
6 Semester: 7
7 ECTS Credits Allocated: 6
8 Theoretical (hour/week): 3
9 Practice (hour/week) : 0
10 Laboratory (hour/week) : 0
11 Prerequisites: -
12 Recommended optional programme components: None
13 Language: Turkish
14 Mode of Delivery: Face to face
15 Course Coordinator: Prof. Dr. AHMET CENGİZ
16 Course Lecturers:
17 Contactinformation of the Course Coordinator: Prof. Dr. Ahmet Cengiz
B. U. Ü. Fen-Edebiyat Fakültesi Fizik Bölümü 16059
Görükle Bursa
email: acengiz@uludag.edu.tr
Tel: 0224 2941695
18 Website:
19 Objective of the Course: By giving the basic concepts in Statistics, to make the solution and the data analysis of the problems related to physics, mathematics, education-teaching and other areas.
20 Contribution of the Course to Professional Development Applies the statistical information to Physics subjects.
21 Learning Outcomes:
1 Learns the basic statistical parameters.;
2 Learns the basic statistical distributions.;
3 Learns the basic concepts of probability.;
4 Learns the probability calculations.;
5 Learns frequency distributions.;
6 Learns the sampling distribution.;
7 Learns the sampling distributions of the difference and sum of two distributions.;
8 Calculates discretion interval of accumulation parameters.;
9 Makes hypothesis testing and decides as statistical.;
10 Makes ?2 test. Fits the appropriate curves to the obtained data. Makes the correlation analysis. ;
22 Course Content:
Week Theoretical Practical
1 Basic Concepts Sample and Accumulation
2 Frequency Distributions 1.Class Range and Class Limits 2.Class boundaries 3.Median 4.Class Width 5.Relative Frequency 6.Cumulative Frequency 7.Graphics: Histogram, Frequency Polygon and Frequency Curve.
3 Definitions and Calculations of Average 1.Arithmetic Mean Weighted Average Properties of Weighted average Short Calculation of Weighted Average Arithmetic Average of Grouped Data 2.Geometric Mean 3.Harmonic Mean 4.Median 5.Mode 6.Relation Between Mean, Median and Mode
4 Measures of Distribution and Variation 1.Distribution Range 2.The Average Absolute Deviation 3.Standard Deviation 4.Standard Deviation Calculation by Simple Way 5.Standard Deviation Calculation for grouped data (Coding Method) 6.Properties of Standard Deviation 7.Variation Coefficient
5 Probability 1.Multiplication of Probabilities and Conditional Probability 2. Sum of the probabilities 3.Probability Distributions Discrete Probability Distributions Continuous Probability Distributions 4.Expected Value 5.Combination Analysis Permutation and Combination Combination Analysis and Probability Probability for Repeatable Trials or Returnable Choices
6 Fundamental Frequency Distributions 1.Binomial Distribution 2.Hypergeometric Distribution 3.Poisson Distribution 4.Normal Distribution
7 Sampling Theory 1.Random Sampling 2.Sampling Distribution 3.Sampling Distribution of Averages and Central Limit Theorem 4.Sampling Distribution of Ratios 5.Sampling Distributions of Differences and Sums
8 Statistical Prediction Theory 1.Point Prediction 2.Range Prediction 3.Properties of Prediction 4.Discretion Interval Pedictions of Accumulation Parameters
9 Statistical Decision Theory 1.Decision and Statistical hypotheses in Statistics 2.Type I and Type II Errors 3.Precision Level – Risk 4.Test in Normal Distribution 5.Steps of Hypothesis Testing 6.One-Sided Test 7.Hypothesis Tests related to Differences of Averages
10 Small Sampling Theory 1.t "Student's" Distribution 2.Discretion Interval Predictions 3.Hypothesis Testing Examples
11 ?2 Test Properties of ?2 Test
12 Repeating courses and midterm exam
13 Graphical Fitt and Least Squares Method 1.Free Points Method 2.Selected Points Method of 3.Least Squares Method Least Squares Line
14 Correlation Analysis Correlation Coefficient
23 Textbooks, References and/or Other Materials: 1. A. CENGİZ, Lecture Notes on Statistical Methods in Physics.
2. H. ÖZYOL, Lecture Notes on Statistical Methods in Physics.
24 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 1 40
Quiz 0 0
Homeworks, Performances 0 0
Final Exam 1 60
Total 2 100
Contribution of Term (Year) Learning Activities to Success Grade 40
Contribution of Final Exam to Success Grade 60
Total 100
Measurement and Evaluation Techniques Used in the Course The system of relative evaluation is applied.
Information
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical 14 3 42
Practicals/Labs 0 0 0
Self Study and Preparation 14 4 56
Homeworks, Performances 0 0 0
Projects 0 0 0
Field Studies 0 0 0
Midtermexams 1 30 30
Others 0 0 0
Final Exams 1 52 52
Total WorkLoad 180
Total workload/ 30 hr 6
ECTS Credit of the Course 6
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12
LO1 5 5 5 0 0 4 0 0 0 0 4 0
LO2 5 5 5 0 0 4 0 0 0 0 4 0
LO3 5 5 5 0 0 4 0 0 0 0 4 0
LO4 5 5 5 0 0 4 0 0 0 0 4 0
LO5 5 5 5 0 0 4 0 0 0 0 4 0
LO6 5 5 5 0 0 4 0 0 0 0 4 0
LO7 4 5 3 0 0 3 0 0 0 0 5 0
LO8 3 5 4 0 0 4 0 0 0 0 3 0
LO9 5 5 5 0 0 3 0 0 0 0 4 0
LO10 5 5 5 0 0 4 0 0 0 0 4 0
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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