Introduction to Statistics and Data Analysis, Fourth Edition Roxy Peck, Chris Olsen, Jay L. Devore Publisher: Richard Stratton Senior Sponsoring Editor: Molly . Likelihood is a central concept of statistical analysis and its foundation is cists who are interested to get an introduction into recent developments in statistical. Excel Technology Manual for Introduction to Statistics and Data Analysis: 5e is an . worlsilnamisi.cf) included a summary of how 12, high school.
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Gerhard Bohm, Günter Zech. Introduction to Statistics and Data. Analysis for Physicists. Verlag Deutsches Elektronen-Synchrotron. An Introduction to. Statistical Methods and Data Analysis. Fifth Edition. R. Lyman Ott. Michael Longnecker. Texas A&M University. Australia. This introductory statistics textbook conveys the essential concepts and tools and guides the reader through the process of quantitative data analysis. ISBN ; Digitally watermarked, DRM-free; Included format: PDF.
However, the study is heavily criticized today for errors in experimental procedures, specifically for the lack of a control group and blindness. The Hawthorne effect refers to finding that an outcome in this case, worker productivity changed due to observation itself. Those in the Hawthorne study became more productive not because the lighting was changed but because they were being observed. This type of study typically uses a survey to collect observations about the area of interest and then performs statistical analysis.
In this case, the researchers would collect observations of both smokers and non-smokers, perhaps through a cohort study , and then look for the number of cases of lung cancer in each group. Types of data[ edit ] Main articles: Statistical data type and Levels of measurement Various attempts have been made to produce a taxonomy of levels of measurement.
The psychophysicist Stanley Smith Stevens defined nominal, ordinal, interval, and ratio scales.
Nominal measurements do not have meaningful rank order among values, and permit any one-to-one injective transformation. Ordinal measurements have imprecise differences between consecutive values, but have a meaningful order to those values, and permit any order-preserving transformation.
Interval measurements have meaningful distances between measurements defined, but the zero value is arbitrary as in the case with longitude and temperature measurements in Celsius or Fahrenheit , and permit any linear transformation.
Ratio measurements have both a meaningful zero value and the distances between different measurements defined, and permit any rescaling transformation. Because variables conforming only to nominal or ordinal measurements cannot be reasonably measured numerically, sometimes they are grouped together as categorical variables , whereas ratio and interval measurements are grouped together as quantitative variables , which can be either discrete or continuous , due to their numerical nature.
Such distinctions can often be loosely correlated with data type in computer science, in that dichotomous categorical variables may be represented with the Boolean data type , polytomous categorical variables with arbitrarily assigned integers in the integral data type , and continuous variables with the real data type involving floating point computation.
But the mapping of computer science data types to statistical data types depends on which categorization of the latter is being implemented. Other categorizations have been proposed. For example, Mosteller and Tukey  distinguished grades, ranks, counted fractions, counts, amounts, and balances.
Nelder  described continuous counts, continuous ratios, count ratios, and categorical modes of data. download eBook. download Hardcover. download Softcover. FAQ Policy. About this Textbook This introductory statistics textbook conveys the essential concepts and tools needed to develop and nurture statistical thinking. Show all. Table of contents 11 chapters Table of contents 11 chapters Introduction and Framework Heumann, Christian et al.
Pages Association of Two Variables Heumann, Christian et al. Combinatorics Heumann, Christian et al. Elements of Probability Theory Heumann, Christian et al.
Nominal-level and ordinal-level variables are also referred to as categorical variables, because each category in the variable can be completely separated from the others. The categories for an interval variable can be placed in a meaningful order, with the interval between consecutive categories also having meaning.
Age, weight, and blood glucose can be considered as interval variables, but also as ratio variables, because the ratio between values has meaning e. Interval-level and ratio-level variables are also referred to as continuous variables because of the underlying continuity among categories.
As we progress through the levels of measurement from nominal to ratio variables, we gather more information about the study participant. The amount of information that a variable provides will become important in the analysis stage, because we lose information when variables are reduced or aggregated—a common practice that is not recommended.
Table of Contents
As the terms imply, the value of a dependent variable depends on the value of other variables, whereas the value of an independent variable does not rely on other variables. In addition, an investigator can influence the value of an independent variable, such as treatment-group assignment. Independent variables are also referred to as predictors because we can use information from these variables to predict the value of a dependent variable.
Building on the group of variables listed in the first paragraph of this section, blood glucose could be considered a dependent variable, because its value may depend on values of the independent variables age, sex, ethnicity, exercise frequency, weight, and treatment group.
Statistics are mathematical formulae that are used to organize and interpret the information that is collected through variables. There are 2 general categories of statistics, descriptive and inferential.
Descriptive statistics are used to describe the collected information, such as the range of values, their average, and the most common category. Knowledge gained from descriptive statistics helps investigators learn more about the study sample. Inferential statistics are used to make comparisons and draw conclusions from the study data.
Introduction to Statistics
Knowledge gained from inferential statistics allows investigators to make inferences and generalize beyond their study sample to other groups. Before we move on to specific descriptive and inferential statistics, there are 2 more definitions to review.
Parametric statistics are generally used when values in an interval-level or ratio-level variable are normally distributed i. These statistics are used because we can define parameters of the data, such as the centre and width of the normally distributed curve.
In contrast, interval-level and ratio-level variables with values that are not normally distributed, as well as nominal-level and ordinal-level variables, are generally analyzed using nonparametric statistics. This can be done using figures to give a visual presentation of the data and statistics to generate numeric descriptions of the data.
Selection of an appropriate figure to represent a particular set of data depends on the measurement level of the variable.
Data for nominal-level and ordinal-level variables may be interpreted using a pie graph or bar graph.This book also comes with a PDF version. The choice of the most appropriate descriptive statistic for interval-level and ratio-level variables will depend on how the values are distributed.
In addition to this book, Jay has written several widely used engineering statistics texts and a book in applied mathematical statistics. Figures are also useful for visualizing comparisons between variables or between subgroups within a variable for example, the distribution of blood glucose according to sex.
This type of study typically uses a survey to collect observations about the area of interest and then performs statistical analysis. In addition to her texts in introductory statistics, Roxy is also co-editor of Statistical Case Studies: A Collaboration Between Academe and Industry and a member of the editorial board for Statistics: A Guide to the Unknown, 4th edition.
In contrast, an observational study does not involve experimental manipulation. The idea of making inferences based on sampled data began around the mids in connection with estimating populations and developing precursors of life insurance. Building on the group of variables listed in the first paragraph of this section, blood glucose could be considered a dependent variable, because its value may depend on values of the independent variables age, sex, ethnicity, exercise frequency, weight, and treatment group.
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