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Estimation and hypothesis testing 1 (graduate statistics2)

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Harve Abella
Harve Abella
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Parametric Statistical Inference: Estimation Two Areas of Statistical Inference I. Estimation of Parameters II. Hypothesis Testing I. Estimation of Parameters – involves the estimation of unknown population values (parameters) by the known sample values (statistic). Remark : Statistic are used to estimate the unknown parameters.
Parametric Statistical Inference: Estimation ,[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Estimation ,[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Estimation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimating the Population Mean I. The Point Estimator of is . II. The Interval Estimator of is the confidence interval given by: 1. when is known. 2. when is unknown, where is the t-value with degrees of freedom.
Estimating the Population Mean ,[object Object]
The Nature of t -Distribution ,[object Object],[object Object]
The Nature of t -Distribution ,[object Object],[object Object],[object Object]
The Nature of t -Distribution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimating the Population Mean ,[object Object],[object Object],[object Object],[object Object],[object Object]
Estimating the Population Mean ,[object Object],[object Object]
Estimating the Population Mean ,[object Object],[object Object],[object Object],[object Object],[object Object]
Estimating the Population Proportion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Estimating the Population Proportion ,[object Object]
Estimating the Population Proportion ,[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Parametric Statistical Inference: Hypothesis Testing ,[object Object],[object Object],[object Object],[object Object]

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Estimation and hypothesis testing 1 (graduate statistics2)

  • 1. Parametric Statistical Inference: Estimation Two Areas of Statistical Inference I. Estimation of Parameters II. Hypothesis Testing I. Estimation of Parameters – involves the estimation of unknown population values (parameters) by the known sample values (statistic). Remark : Statistic are used to estimate the unknown parameters.
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  • 5. Estimating the Population Mean I. The Point Estimator of is . II. The Interval Estimator of is the confidence interval given by: 1. when is known. 2. when is unknown, where is the t-value with degrees of freedom.
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Editor's Notes

  1. Type 1: false claim *ex. Convicting the innocent Type 2: failure of detection *ex. Acquitting the guilty
  2. 5% level of significance for research… even 1%