Introduction to Statistics for nonmathematicians

From basics to multiple regression

In this course you will learn about: basic concepts of statistics (quantification, variables & constants, samples, and populations, randomness, and representativeness, parameters and statistics, units of analysis, databases), scales of measurement (the nominal, the ordinal, the interval, and the ratio scale) and types of variables (continuous & discrete, parametric & nonparametric), how to convert one type of scale into another, basic description of the data (mean, median, mode, range, variance, standard deviation), theoretical & real distributions, standardization (the Z scores), the normal distribution and its properties, hypothesis testing, the probability of the null hypothesis, the Z test, the t-test and the t distributions, the confidence intervals, the independent samples t-test, the repeated measures t-test, the Analysis of Variance (ANOVA) for independent samples and repeated measures, the Pearson correlation, the simple and the multiple linear regression.

What you’ll learn

  • To understand and use correctly the basic concepts of statistics.
  • To perform the descriptive analysis of data.
  • To estimate statistical parameters in the population.
  • To perform comparisons between two or more groups using t tests and ANOVA.
  • To perform comparisons between two or more sets of repeated measures using t tests and ANOVA.
  • To understand and perform correlation analysis of data.
  • To build simple and multiple predictive models using linear regression.

Course Content

  • 1. Basic concepts of statistics –> 3 lectures • 19min.
  • 2. Scales of measurement & types of variables –> 3 lectures • 31min.
  • 3. Basic description of the data –> 3 lectures • 21min.
  • 4. Standardization. The normal distribution and hypothesis testing –> 3 lectures • 21min.
  • 5. The t test and the t distributions –> 3 lectures • 13min.
  • 6. The confidence intervals –> 3 lectures • 12min.
  • 7. The independent samples t test –> 3 lectures • 13min.
  • 8. The repeated measures t test –> 3 lectures • 14min.
  • 9. The independent samples ANOVA –> 3 lectures • 26min.
  • 10. The repeated measures ANOVA –> 3 lectures • 14min.
  • 11. The Pearson correlation –> 3 lectures • 14min.
  • 12. The simple linear regression –> 3 lectures • 22min.
  • 13. The multiple linear regression –> 3 lectures • 23min.

Introduction to Statistics for nonmathematicians

Requirements

In this course you will learn about: basic concepts of statistics (quantification, variables & constants, samples, and populations, randomness, and representativeness, parameters and statistics, units of analysis, databases), scales of measurement (the nominal, the ordinal, the interval, and the ratio scale) and types of variables (continuous & discrete, parametric & nonparametric), how to convert one type of scale into another, basic description of the data (mean, median, mode, range, variance, standard deviation), theoretical & real distributions, standardization (the Z scores), the normal distribution and its properties, hypothesis testing, the probability of the null hypothesis, the Z test, the t-test and the t distributions, the confidence intervals, the independent samples t-test, the repeated measures t-test, the Analysis of Variance (ANOVA) for independent samples and repeated measures, the Pearson correlation, the simple and the multiple linear regression.

In all presentations, the focus is moved from mathematical aspects to basic principles behind each statistical procedure, so that each topic is very easy to understand. The rhythm of the presentation is well calibrated to facilitate the understanding of each new concept.

Each section is followed by several exercises in which you can consolidate your newly acquired knowledge. In addition, you will receive for each section the tables with critical values for your statistical indicators and a document with all exercises resolved to check if you work correctly.

Good luck on your way to becoming an expert in Statistics!

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