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. |
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 |
|