School Of Pharmaceutical Sciences
C.S.J.M. University, Kanpur
• Inferential statistics are used to determine the
likelihood that a conclusion, based on the
analysis of the data from a sample, is true and
represents the population studied
• The two common forms of statistical
inference are:
1. Estimation
2. Null hypothesis tests of significance (NHTS)
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SCHOOL OF PHARMACEUTICAL SCIENCES,
C.S.J.M UNIVERSITY,KANPUR
ESTIMATION
•Estimation theory is a branch of statistics based on
measured/empirical data that has a random component
•In statistics, estimation refers to the process by which one
makes inferences about a population, based on information
obtained from a sample
•Estimation of a population parameter is to obtain a guess or
an estimate of unknown value of the parameter
•The estimation of the parameters of a statistical model is one
of the fundamental issue in statistics
•Choosing an appropriate estimator ,that is ‘best’ in one or
another respect, is an important task
SCHOOL OF PHARMACEUTICAL SCIENCES,
C.S.J.M UNIVERSITY,KANPUR
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• OBJECTIVES- Describe the characteristics of
the normal distribution in statistical terms
• Explain the concept of a confidence interval
and how it relates to an estimated parameter
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SCHOOL OF PHARMACEUTICAL SCIENCES,
C.S.J.M UNIVERSITY,KANPUR
POINT ESTIMATE v/s INTERVAL ESTIMATE
POINT ESTIMATE INTERVAL ESTIMATE (CONFIDANCE
INTERVAL)
A point estimate of a population
parameteris a single value of a statistic
An interval estimate is defined by two
numbers, between which a population
parameteris said to lie.
For example, the sample mean x is a point
estimateof the population mean μ
For example, a < x < b is an interval
estimateof the population mean p.
Similarly, the sample proportion p is a
point estimate of the population
proportionP.
It indicates that the population mean is
greater than a but less than b
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SCHOOL OF PHARMACEUTICAL SCIENCES,
C.S.J.M UNIVERSITY,KANPUR
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SCHOOL OF PHARMACEUTICAL SCIENCES,
C.S.J.M UNIVERSITY,KANPUR

Statistical parameter estimation (CADDS)

  • 1.
    School Of PharmaceuticalSciences C.S.J.M. University, Kanpur
  • 2.
    • Inferential statisticsare used to determine the likelihood that a conclusion, based on the analysis of the data from a sample, is true and represents the population studied • The two common forms of statistical inference are: 1. Estimation 2. Null hypothesis tests of significance (NHTS) 2 SCHOOL OF PHARMACEUTICAL SCIENCES, C.S.J.M UNIVERSITY,KANPUR
  • 3.
    ESTIMATION •Estimation theory isa branch of statistics based on measured/empirical data that has a random component •In statistics, estimation refers to the process by which one makes inferences about a population, based on information obtained from a sample •Estimation of a population parameter is to obtain a guess or an estimate of unknown value of the parameter •The estimation of the parameters of a statistical model is one of the fundamental issue in statistics •Choosing an appropriate estimator ,that is ‘best’ in one or another respect, is an important task SCHOOL OF PHARMACEUTICAL SCIENCES, C.S.J.M UNIVERSITY,KANPUR 3
  • 4.
    • OBJECTIVES- Describethe characteristics of the normal distribution in statistical terms • Explain the concept of a confidence interval and how it relates to an estimated parameter 4 SCHOOL OF PHARMACEUTICAL SCIENCES, C.S.J.M UNIVERSITY,KANPUR
  • 5.
    POINT ESTIMATE v/sINTERVAL ESTIMATE POINT ESTIMATE INTERVAL ESTIMATE (CONFIDANCE INTERVAL) A point estimate of a population parameteris a single value of a statistic An interval estimate is defined by two numbers, between which a population parameteris said to lie. For example, the sample mean x is a point estimateof the population mean μ For example, a < x < b is an interval estimateof the population mean p. Similarly, the sample proportion p is a point estimate of the population proportionP. It indicates that the population mean is greater than a but less than b 5 SCHOOL OF PHARMACEUTICAL SCIENCES, C.S.J.M UNIVERSITY,KANPUR
  • 6.
    6 SCHOOL OF PHARMACEUTICALSCIENCES, C.S.J.M UNIVERSITY,KANPUR