Statistics In Engineering and Science

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Statistics In Engineering and Science by Mind Map: Statistics In Engineering and Science

1. Sample

1.1. Representative group of the population

1.1.1. Sampling techniques Convenience sample Fast and cheap Not necessarily representative Judgmental sampling Based on experience Difficult to relate to population Simple random sample Sample of size n obtained from the population or process Stringent requirements Allows replacement Systematic random samples Sampling the kth unit Stratified random samples Subdivide heterogeneous population in groups Cluster sampling Subdivide population in clusters

1.2. Serves to make inferences about population

2. Parameters

2.1. Population values that summarizes its observations

2.2. Constant

2.3. Greek letters

2.4. Usually unknown

3. Distribution

3.1. Possible values of a variable and occurrence frequency

3.2. Example

3.2.1. Normal distribution Parameters

4. Statistics

4.1. Sample values to estimate parameters

4.2. Random

4.3. Latin letters

5. New node

5.1. Histograms

5.2. Frequency distribution

5.3. Relative-frequency histogram

6. Outcome

7. Defined

8. Population

8.1. All possible items with common characteristics under

8.1.1. Experimental conditions

8.1.2. Observational conditions

8.1.3. Statistical analysis Infer relationships between Design factor

8.2. Fixed

9. Statistic

9.1. Problem solving with variability

9.1.1. Studies Experimental Control variables Observational

10. Statistics in experimentation

10.1. Identify and measure

10.1.1. Sources of variation Draw valid inferences

10.2. Statistical design and analysis

10.2.1. Project planning Include statistical considerations

10.2.2. Experimental design Control variation from known sources Uncontrollable variation

11. Process

11.1. Repeatable series of actions resulting in

11.2. Changing

12. Variable

12.1. Characteristic on which information is retrieved

12.1.1. Types Response Factors Can affect response variables Controllable

13. Observation in experiments

13.1. Information

13.2. Actual value of variables

14. Random

14.1. Statistical

14.1.1. Approximate physical systems

14.1.2. Derived from data

14.2. Mathematical

14.2.1. Represent relationships among variables

14.2.2. Derived from theory

14.2.3. Don't take errors into account