Giuseppe Cicchitelli, Pierpaolo D'Urso, Marco Minozzo
Statistica:Principi e metodi, Pearson, Terza edizione, Settembre 2017
Learning Objectives
The course has been designed to acquaint the student with basic theory of statistics, survey and data analysis.
Prerequisites
Statistica I
Teaching Methods
classroom lessons
Further information
e-learning Moodle
Type of Assessment
Written and oral examination.
Course program
STATISTICS II
• Population, Sample.
– Simple Random Sample, Sample Space, Statistics.
– Sampling Distributions of Statistics.
– Sampling Distributions of Sample Means, normal Population, Large Samples.
– Sampling of Sample Means with unknown Variance.
– Sampling of Sample Means from finite Populations.
– Sampling Distributions of Sample Proportions.
– Sampling Distributions of Sample Variances.
– Sampling Distributions of difference between two Sample Means.
– Sampling Distributions of difference between two Sample Proportions.
– Sampling Distributions of ratio of Variances.
• Point Estimate
– Estimators and Estimate.
– Properties of point Estimators. Unbiasedness, Efficiency, Consistency. Mean Square Error.
– BLU Estimators.
– Likelihood function. Method of maximum likelihood. Properties of maximum likelihood Estimators.
• Confidence Intervals.
– Confidence Intervals for the Mean: Population Variance known and unknown.
– Confidence Intervals for the Mean: Large Samples.
– Confidence Intervals for the Population Proportion (Large Samples).
– Confidence Intervals for the Variance of a normal distribution..
– Confidence Intervals for the difference between two Normal Population Means: Variances known and unknown.
– Confidence Intervals for difference between two Population Proportions (Large Samples).
– Sample size determination.
– Confidence level determination.
• Hypothesis testing.
– Concepts of Hypothesis Testing.
– Tests of the Mean of a normal distribution: Variance known and unknown.
– Tests of the Population Proportion (Large Samples).
– Tests of the Variance of a normal Distribution.
– Tests of the difference between two Population Means. (independent Samples, matched pairs).
– Tests of the difference between two Population Proportions (Large Samples).
– Tests of the equality of the Variances between two normally distributed Popu- lations.
– Assessing the power of a test.
• Goodness-of-Fit Tests and Contingency Tables.
– Goodness-of-Fit Tests: Specified probabilities.
– Goodness-of-Fit tests: Population parameters unknown.
– Contingency table.
• Introduction to Bayesian Statistics.