Between Certainty and Uncertainty: Statistics and by Ludomir M. Laudański

By Ludomir M. Laudański

„Between walk in the park & Uncertainty” is a one-of–a-kind brief path on facts for college students, engineers and researchers. it's a interesting advent to statistical data and chance with notes on ancient origins and eighty illustrative numerical examples prepared within the 5 units:

· bankruptcy 1 Descriptive Statistics: Compressing small samples, uncomplicated averages - suggest and variance, their major houses together with God’s facts; linear adjustments and z-scored statistics .

· bankruptcy 2 Grouped data: Udny Yule’s proposal of qualitative and quantitative variables. Grouping those types of information. Graphical instruments. Combinatorial principles and qualitative variables. Designing frequency histogram. Direct and coded overview of quantitative facts. importance of percentiles.

· bankruptcy three Regression and correlation: Geometrical distance and identical distances in orthogonal instructions as a prerequisite to the concept that of 2 regression strains. deceptive in reading regression traces. Derivation of the 2 regression traces. used to be Hubble correct? Houbolt’s cloud. What actually measures the correlation coefficient?

· bankruptcy four Binomial distribution: center a long time origins of the binomials; figurate numbers and combinatorial ideas. Pascal’s Arithmetical Triangle. Bernoulli’s or Poisson Trials? John Arbuthnot curing binomials. How Newton taught S. Pepys chance. Jacob Bernoulli’s susceptible legislation of huge Numbers and others.

· bankruptcy five Normal distribution and binomial heritage – Tables of the conventional distribution. Abraham de Moivre and the second one theorem of de Moivre-Laplace.

· bankruptcy 1 Descriptive Statistics: Compressing small samples, easy averages - suggest and variance, their major homes together with God’s facts; linear alterations and z-scored records .

· bankruptcy 2 Grouped data: Udny Yule’s inspiration of qualitative and quantitative variables. Grouping those types of information. Graphical instruments. Combinatorial principles and qualitative variables. Designing frequency histogram. Direct and coded overview of quantitative information. value of percentiles.

· bankruptcy three Regression and correlation: Geometrical distance and an identical distances in orthogonal instructions as a prerequisite to the concept that of 2 regression traces. deceptive in studying regression traces. Derivation of the 2 regression traces. was once Hubble correct? Houbolt’s cloud. What in reality measures the correlation coefficient?

· bankruptcy four Binomial distribution: center a while origins of the binomials; figurate numbers and combinatorial principles. Pascal’s Arithmetical Triangle. Bernoulli’s or Poisson Trials? John Arbuthnot curing binomials. How Newton taught S. Pepys likelihood. Jacob Bernoulli’s vulnerable legislation of enormous Numbers and others.

· bankruptcy five Normal distribution and binomial heritage – Tables of the traditional distribution. Abraham de Moivre and the second one theorem of de Moivre-Laplace.

· bankruptcy five Normal distribution and binomial heritage – Tables of the traditional distribution. Abraham de Moivre and the second one theorem of de Moivre-Laplace.

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Additional resources for Between Certainty and Uncertainty: Statistics and Probability in Five Units with Notes on Historical Origins and Illustrative Numerical Examples

Sample text

23). 24). 29) Already here – well ahead of the material presented in Chapter 4 – an impatient student may be advised to make use of the monograph by Edwards [7] containing an unusual richness of facts on this subject. Three Basic Combinatorial Schemes Combinatorial rules based on (so to speak) common sense describe how reduced/expanded the possibilities are in ordering different given objects – going from one combinatorial pattern to another. It is hard to devise a common method of presenting the ideas.

The Grammar of Science. : The design of experiments. Oliver & Boyd, Edinburg (1935) [18] Student: The probable error of a mean. : Joint Statistical Papers, p. 300. : An Introduction to the Theory of Statistics. Charles Griffin and Co, London 1911 – edited 14 times, the Second Edition was translated into Polish by Z. Limanowski: Wstęp do Teorji Statystyki, Gebethner i Wolff, Warszawa 1921; pp. 1– 446. G. : Dylematy jakości nauczania w epistolografii św, Pawła (Quality Dillemmas in Letters of St.

Karl Pearson and the Rule of Three. 14 Chapter 2 Grouped Data. Introduction to General Statistics Udny Yule’s concept of statistical entries – entirely quantitative data. How to proceed when grouping statistical data. Graphical tools. Making use of combinatorial rules while processing attributed data. Defective histogram. Number of bins versus volume of the raw statistical data. Frequency histogram. Direct and coded methods for evaluating grouped data to derive their average and variance. Making use of percentiles With the statistics of the second order of dimension one commences the study of “real” Statistics and its practice.

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