Applied Statistics I
Applied Statistics I STA 270
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This 4 page Class Notes was uploaded by Brant Hand I on Sunday October 11, 2015. The Class Notes belongs to STA 270 at Eastern Kentucky University taught by Yong Wang in Fall. Since its upload, it has received 72 views. For similar materials see /class/221444/sta-270-eastern-kentucky-university in Statistics at Eastern Kentucky University.
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Date Created: 10/11/15
Part One Basic Ideas of Statistics I Concepts Population vs Sample Descriptive Statistics vs lnferential Statistics Data7 data set7 observations Types of Variables quantitative vs qualitativecategorical continuous vs discrete response vs predictorexpalanatory dependent vs independent H 2 Census vs sampling Sampling schemes simple random sampling7 clustered sampling7 strati ed sampling7 multistage sampling7 convenience sampling lt S Experimental design principles of experimental design7 good and bad de signs 5 ll Calculations i Organizing Variables 1 Qualitative Variable Calculate frequency7 cumulative frequency7 percentage frequency Bar chart7 pie chart 2 Quantitative Variable Group data Calculate frequency7 cumulative frequency7 percentage frequency Histograms7 dotplots7 stem and leaf plots Distribution of data symmetry vs skewness7 modality ii Descriptive Measures 1 Measure of Center mean population mean vs sample mean7 median and mode 2 Measure of Variation range7 variance and standard deviation std dev population variancestd dev vs sample variancestd dev 3 Five Number Summary and Boxplot quartiles odd and even number of observations inter quartile range lQR nd outliers using lQR con struct boxplots 4 Calculate Z scores using population mean and population std dev interpret Z scores Part Two Probability l Concepts Sample space7 event Complement7 intersection7 union H Mutually exclusive7 independence Types of Variables quantitative vs qualitativecategorical continuous vs discrete 2 ll Calculations of Basic Probabilities i Given an event A7 nd its probability and the probability of its complement ii Given two events A and B7 nd the probability of their union and inter section iii Use general and special addition rule iv Given a contingency table7 nd the joint7 marginal and conditional proba bility v Use general and special multiplication rule7 nd conditional probability vi Use Venn Diagram to nd probability v i Determine whether two events are independent viii Use basic counting rule7 combination and permutation to nd probability lll Working with Random Variables i Concepts 1 What is a random variable7 random variable notation 2 Probability distribution and probability histogram 3 Discrete and continuous random variables 4 Binomial distribution 5 Normal distribution Calculations Find the mean and standard deviation of a discrete random variable Find the probability under Binomial distribution nd the mean and standard deviation of a Binomial random variable Under Normal distribution standardize a normal random variable7 nd probabilities7 nd cuto 7 construct Normal probability plot7 normal ap proximation to Binomial DH 9 Part Three Statistical Inference b l Sampling Distribution i Concepts 1 Sampling error 2 Sampling distribution ii Sampling distribution of sample mean Statistical Inference Con dence Interval and Hypothesis Testing i Statistical Inference for Population Mean 1 Con dence Interval Cl Cl with population standard deviation 0 known Find Z value associated with di erent con dence level Calculate margin of error from a con dence interval gt lt lt Calculate required minimum sample size at a combination of con dence level and margin of error Cl with population standard deviation 0 unknown Find t value associated with different con dence level and degrees of freedom lnterpreting con dence interval in the context of the problem 2 Hypothesis Testing HT Determine whether a test is one tailed or two tailed Test hypothesis with population standard deviation 0 knowniZ test Find P value associated with different values of test statistic 96 96 Test hypothesis with population standard deviation 0 unknownit test Find P value associated with different values of test statistic and de grees of freedom 96 96 Using P value to reach conclusion and interpret the conclusion in the context of the problem 3 Relationship between con dence interval and two tailed hypothesis test ing ii Statistical Inference for Population Proportion 1 Sampling distribution of the sample proportion Cl 2 Con dence Interval Cl Always use Z intervall Find Cl given a sample proportion7 sample size and con dence level Calculate margin of error from a con dence interval Calculate required minimum sample size at a combination of con dence level and margin of error lnterpreting con dence interval in the context of the problem 2 Hypothesis Testing HT Determine whether a test is one tailed or two tailed Always use Z test Find P value associated with different values of test statistic Using P value to reach conclusion and interpret the conclusion in the context of the problem lll Be able to use either calculator or interpret Minitab output to answer ques tions about con dence interval or hypothesis testing Part Four Regression and Correlation l Regression i Be able to interpret the intercept and slope of a regression equation ii Understand the effective scope of a regression equation iii Use a given regression equation to make predictions 3 iV Be able to interpret the coef cient of determination R2 V Be able to use sum of squares SST7 SSR and SSE to calculate R2 ll Correlation Use a scatterplot to tell the forrn7 direction and strength of the relationship between two variables Use a correlation coef cient r to tell the forrn7 direction and strength of the relationship between two variables iii Use given information to calculate r iV Understand the relationship between R2 and r lll Be able to use either calculator or interpret Minitab output to answer ques tions about regression and correlation
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