Statistical inference 2
Download as PPTX, PDF4 likes588 views
This document discusses statistical inference and its two main types: estimation of parameters and testing of hypotheses. Estimation of parameters has two forms: point estimation, which provides a single numerical value as an estimate, and interval estimation, which expresses the estimate as a range of values. Point estimation involves calculating estimators like the sample mean to estimate population parameters. Interval estimation provides a interval rather than a single point as the estimate. Statistical inference uses samples to draw conclusions about unknown population parameters.
Statistical inference 2
- 1. STATISTICAL INFERENCE REPRESENTATORS : SAFIULLAH
- 2. STATISTICS 1) DESCRIPTIVE 2) INFRENTIAL ESTIMATION OF PARAMETER TESTING OF HYPOTHESIS POINT ESTIMATION INTERVAL ESTIMATION ESTIMATION OF SIGNAL VALUE ESTIMATION OF SIGNAL VALUE
- 3. Statistical Inference: The process of drawing conclusion about the whole population on the basis of information obtained from sample taken from the population is called infrential statistics.it is a major branch of Statistics. Types of Statistical Inference: there are two types: 1) Estimation of Parameter 2) Testing of Hypothesis
- 4. Testing of Hypothesis: The procedure which enable us whether to accept or reject a statement or assumption made about the whole population parameter by using sample observation.
- 5. Estimation of Parameter: The process by which we obtained an estimate of unknown value of the population parameter by using sample observation is called estimation. we can estimate the population mean µ by sample mean X. there are also two types of estimation of parameter 1) Point estimation 2) Interval estimation
- 6. TYPES OF ESTIMATION OF PARAMETERS Point Estimation: when an estimate for the unknown population parameter is expressed by a single numerical value is called point estimate and the process is called point estimation Example: a sample of size yielded the value 8,4,10,5,5,4,9,4,3,7 Estimate the population mean Sol: the point estimation of Population mean is X, X= Ʃx/n X=8+4+10+5+5+4+9+4+3+7 /10 X=5.9
- 7. Interval Estimation: when an estimate is expressed by the range of values is called the interval estimate and the process is called interval estimation. e.g if we wish to estimate temperature of a place and we state the temperature is 29˚C then it is called point estimation and if we state that temperature is in between 20˚C and 30˚C so it is called interval estimation.
- 8. Estimate and Estimator: An estimate is a numerical value of parameter obtained by applying certain rules or formula and the formula which is used for estimation process is called Estimator. ( X = Ʃx/n) = 5.9 Estimation Estimate
Editor's Notes
- #9: e