Experimental Data Analysis 1

Lecturer:

Petr Kopřiva (gar.)

Tutor:

Petr Kopřiva (gar.)

Supervisor:

Department of Materials

Synopsis:

Lectures on mathematical statistics with respect to applications in technical sciences.

Requirements:

14AED1-Experimental Data Analysis 1.

Calculus, algebra.

Syllabus of lectures:

1.Population, sample, random sample, statistics.

2.Distributions of basic statistics.

3.Distribution of statistics in samples from normal distribution.

4.Ordered sample and order statistics.

5.Life tests, censoring.

6.Point estimation of parameters and their functions.

7.Method of moments, method of maximum likelihood.

8.Estimation of descriptive statistics.

9.Interval estimation, confidence intervals.

10.Tolerance intervals.

11.Statistical hypotheses testing.

12.Tests of significance.

13.Goodness-of-fit tests.

14.Nonparametric tests.

15.Regression analysis.

16.Basic model of linear regression.

17.Point and interval estimation of regression parameters.

18.Hypotheses testing in linear regression.

19.Correlation.

Syllabus of tutorials:

1. Point estimates of parameters.

2. Confidence intervals.

3. Significance tests.

4. Goodness-of-fit tests.

5. Nonparametric tests.

6. Linear regression.

Study Objective:

Knowledge:

Fundamental statistical methods with emphasis on life and reliability tests.

Skills:

Application of statistical methods on the treatment of experimental results.

Study materials:

Key references:

[1]. KENETT,R.S. - ZACKS,S.: Modern Industrial Statistics. Design and Control of Quality and Reliability. Brooks/Cole Publishing Company, Pacific Grove, 1998.

Recommended references:

[1]. MEEKER,W.Q. - ESCOBAR,L.A.: Statistical Methods for Reliability Data. J.Wiley & Sons, 1998.

Media and Tools:

Microsoft Excel 2007 or 2010.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: