Statistics and Probability Estimation of Parameters pptx

19960726 1,153 views 23 slides Jun 25, 2024
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About This Presentation

Parameter estimation is defined as the experimental determination of values of parameters that govern the system behavior, assuming that the structure of the process is known.


Slide Content

Estimation of Parameters Statistics and Probability

Descripted measures computed from a sample. Statistic Parameters Descripted measures computed from a population.

Questions

1. What do we call a process by which one makes inferences about a population based on observation obtained from a sample?

2. What do we call the value or range of values used to approximate a parameter?

3. What are the types of population Estimate?

1. What do we call a process by which one makes inferences about a population based on observation obtained from a sample? ----ESTIMATION---- -Process used to calculate the population parameters by analyzing only a small random sample from the population

2. What do we call the value or range of values used to approximate a parameter? ----ESTIMATE----

3. What are the types of population Estimate? A. Point Estimate B. Interval Estimate

3. What are the types of population Estimate? A. Point Estimate -a point estimate of a population parameter is a single value of a statistics

3. What are the types of population Estimate? B. Interval Estimate -range of values within which the parameter values possibly falls.

Point Estimate -it is used to represent the true value of a parameter. --Example-- sample mean estimates of the population mean . Sample variance estimates the population variance.    

Point Estimate A researcher wants to estimate the average grade of all mathematics students in Saint Joseph Institute of Technology. He determined the grades of five students as follows; 76, 82, 88, 90 & 96. Estimate the average mathematics grades of all the students and the variance of their grades.      

Point Estimate A researcher wants to estimate the average grade of all mathematics students in Saint Joseph Institute of Technology. He determined the grades of five students as follows; 76, 82, 88, 90 & 96. Estimate the average mathematics grades of all the students and the variance of their grades.    

Point Estimate    

Point Estimate What is the best point estimate of the population mean if a sample consisting of and is obtained from the population?        

Point Estimate What is the best point estimate of the population mean if a sample consisting of and is obtained from the population?      

Point Estimate A sample consisting of is used to estimate the population mean . What is the standard error of the point estimate of the population mean when the population standard deviation is estimated to be ?        

Point Estimate A sample consisting of is used to estimate the population mean . What is the standard error of the point estimate of the population mean when the population standard deviation is estimated to be ?      

Point Estimate      

Point Estimate      

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