1.3.5.16. Kolmogorov-Smirnov Goodness-of-Fit Test Purpose: Test for Distributional AdequacyThe Kolmogorov-Smirnov test (Chakravart‚ Laha‚ and Roy‚ 1967) is used to decide if a sample comes from a population with a specific distribution. The Kolmogorov-Smirnov (K-S) test is based on the empirical distribution function (ECDF). Given N ordereddata points Y1‚ Y2‚ ...‚ YN‚ the ECDF is defined as \[ E_{N} = n(i)/N \] where n(i) is the number of points less than Yi and the Yiare ordered from smallest to
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STUDENT PERFORMANCE DETERMINANTS IN A BUSINESS STATISTICS COURSE AT A LARGE URBAN INSTITUTION CIS 3300 November 30‚ 2012 INTRODUCTION This research paper discusses the effects of several different factors on a student’s success in a Business Statistics course. The different variables include areas related to the student’s academic factors as well as factors related to the student’s personal life. The academic related variables are: course of study‚ study hours per week‚ semester credit
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Scatterplots 4 Pearson’s Correlation 4 Spearman’s Rho 4 Probability 4 Binomial Distribution 4 Assumptions: 5 Subjective Probability 5 Normal Distribution 5 Standard Normal Distribution 5 Sampling Distribution 5 Standard Error of Statistic 5 Central Limit Theorem 5 Area under the Sampling Distribution of the Mean 6 Sampling Distribution‚ Difference between Independent means 6 Sampling Distribution of a Linear Combination of Means 6 Sampling Distribution of Pearson’s R 7
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Statistics is the study of the collection‚ organization‚ analysis‚ interpretation and presentation of data. It deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments. Descriptive statistics is the discipline of quantitatively describing the main features of a collection of information‚ or the quantitative description itself. Descriptive statistics are distinguished from inferential statistics (or inductive statistics)‚ in that
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Millar Biology statistics made simple using Excel Biology statistics made simple using Excel Neil Millar Spreadsheet programs such as Microsoft Excel can transform the use of statistics in A-level science Statistics is an area that most A-level biology students (and their teachers!) find difficult. The formulae are often complicated‚ the calculations tedious‚ degrees of freedom mysterious‚ and probability tables confusing. But in fact students need no longer grapple with any of these.
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9.18 a) Using forward stepwise regression to find the best subset of predictor variables to predict job proficiency. The Alpha-to-Enter significance level was set at 0.05 and the Alpha-to-Leave significance level was set at 0.10. The first predictor entered into the stepwise model is X3. SAS tells us that the estimated intercept is -106.13 and the estimated slope for X3 is 1.968. The R2-value is 0.8047‚ mean square error is 76.87. The second predictor entered into the stepwise model is X1.
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the written application of operation. It teaches students to think clearly‚ reason well and strategize effectively. Mental Mathematics is the ability to utilise mathematical skills to solve problems mentally. The marks scored by pupils generate statistics which are used by teachers to analyse a student’s performance and development of theories to explain the differences in performance. The Standard 3 class is where the transition from junior to senior level occurs where teachers expect the transference
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shorter than TT Air‚ it does not significantly affect the output as the one day does not change much (unless there had been a market shock). However based on Central Limit Theorem‚ if the sample size is greater than or equal to 30 samples‚ the sample statistics reflect the time population parameters. • The Median data does not show much in this case as the range (4.7 AA Fly and 6.8 TT Air) is small for both AA Fly and TT Air. This means that the mean is more applicable to be used. • The Mode of AA
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Lecture 1. Descriptive statistics includes statistical procedures that we use to describe the population we are studying. The data could be collected from either a sample or a population‚ but the results help us organize and describe data. Descriptive statistics can only be used to describe the group that is being studying. That is‚ the results cannot be generalized to any larger group. Inferential statistics is concerned with making predictions or inferences about a population from observations
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Concepts 1. What is Inferential statistics? Inferential statistics uses observations of past occurrences or available data i.e. descriptive statistics to make decisions about future possibilities and/or the nature of the entire body of data. Inferential statistics draws conclusions or makes interpretations‚ predictions and inferences about a population based upon an analysis of a sample. 2. Give 2 different techniques which are used in descriptive statistics to represent the data. Tables or
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