Mathematical and Biostatistical Foundation of Biotechnology

Adatok

A Tantárgybejelentőben megadott hivatalos adatok az alábbi tanévre: 2025-2026

Tantárgyfelelős

Óraszámok/félév

előadás: 28 óra

gyakorlat: 28 óra

szeminárium: 14 óra

összesen: 70 óra

Tárgyadatok

  • Kód: OTN-MBFB-T
  • 5 kredit
  • Biotechnology BSc
  • Basic modul
  • spring
Előfeltétel:

OTN-MBBS-T finished

Kurzus létszámkorlát

min. 5 fő – max. 50 fő

Tematika

Main topics of the subject: Principles of descriptive and inferential statistics; models, planning of experiments, presentation, analysis and evaluation of data.

Principles of descriptive statistics. Data, types of data, data analysis and evaluation. Presentation of data on graphs, diagrams. Probability, random variable, discrete and continuous statistical distributions. Principles of inferential statistics. Statistical hypothesis testing. Parametric and non-parametric approaches. Correlation and regression analysis.

Statistical software packages and support: problem-solving with Microsoft Excel, an overview of other tools.

Előadások

  • 27.

    Revision, consultation, end semester test.

    - Bódis Emőke
  • 28.

    Revision, consultation, end semester test.

    - Bódis Emőke
  • 26.

    Workshop. Discussion of case studies and Students' projects.

    - Karádi Kristóf Kálmán
  • 21.

    Regression analysis. Least squares principle.

    - Csepregi Kristóf
  • 22.

    Regression analysis. Least squares principle.

    - Csepregi Kristóf
  • 23.

    Correlation analysis. Rank correlation.

    - Csepregi Kristóf
  • 25.

    Workshop. Discussion of case studies and Students' projects.

    - Karádi Kristóf Kálmán
  • 24.

    Correlation analysis. Rank correlation.

    - Csepregi Kristóf
  • 20.

    Analysis of variance

    - Bukovics Péter
  • 19.

    Analysis of variance

    - Bukovics Péter
  • 18.

    The chi-square test and its applications: goodness of fit test and test for independence.

    - Bukovics Péter
  • 17.

    The chi-square test and its applications: goodness of fit test and test for independence.

    - Bukovics Péter
  • 16.

    Revision, consultation, midterm test.

    - Karádi Kristóf Kálmán
  • 15.

    Revision, consultation, midterm test.

    - Karádi Kristóf Kálmán
  • 14.

    Nonparametric methods: Wilcoxon test, Mann-Whitney U test.

    - Bukovics Péter
  • 13.

    Nonparametric methods: Wilcoxon test, Mann-Whitney U test.

    - Bódis Emőke
  • 12.

    Analysis of the means with t-test.

    - Bódis Emőke
  • 11.

    Analysis of the means with t-test.

    - Csepregi Kristóf
  • 9.

    Hypothesis testing: the u-test.

    - Bukovics Péter
  • 10.

    Hypothesis testing: the u-test.

    - Csepregi Kristóf
  • 8.

    Statistical hypothesis testing. Hypothesis testing: the sign test.

    - Trombitás Norbert
  • 7.

    Statistical hypothesis testing. Hypothesis testing: the sign test.

    - Huber Tamás
  • 6.

    Continuous probability distributions. Normal and lognormal distribution.

    - Bódis Emőke
  • 5.

    Continuous probability distributions. Normal and lognormal distribution.

    - Bukovics Péter
  • 4.

    The characteristics of population and sample: mean, dispersion and standard error. The elements of standard error calculation. Probability and probability distribution.

    - Huber Tamás
  • 3.

    The characteristics of population and sample: mean, dispersion and standard error. The elements of standard error calculation. Probability and probability distribution.

    - Huber Tamás
  • 1.

    Introduction. The applied statistical models. Planning and carrying out an experiment. Data analysis, frequency distributions and histogram

    - Bódis Emőke
  • 2.

    Introduction. The applied statistical models. Planning and carrying out an experiment. Data analysis, frequency distributions and histogram

    - Bódis Emőke

Gyakorlatok

  • 28.

    Revision, consultation, end semester test.

    - Bódis Emőke
  • 26.

    Workshop. Discussion of case studies and Students' projects.

    - Karádi Kristóf Kálmán
  • 27.

    Revision, consultation, end semester test.

    - Bódis Emőke
  • 25.

    Workshop. Discussion of case studies and Students' projects.

    - Karádi Kristóf Kálmán
  • 22.

    Regression analysis. Least squares principle.

    - Csepregi Kristóf
  • 23.

    Correlation analysis. Rank correlation.

    - Csepregi Kristóf
  • 24.

    Correlation analysis. Rank correlation.

    - Csepregi Kristóf
  • 20.

    Analysis of variance

    - Bukovics Péter
  • 21.

    Regression analysis. Least squares principle.

    - Csepregi Kristóf
  • 17.

    The chi-square test and its applications: goodness of fit test and test for independence.

    - Bukovics Péter
  • 18.

    The chi-square test and its applications: goodness of fit test and test for independence.

    - Bukovics Péter
  • 19.

    Analysis of variance

    - Bukovics Péter
  • 14.

    Nonparametric methods: Wilcoxon test, Mann-Whitney U test.

    - Bukovics Péter
  • 15.

    Revision, consultation, midterm test.

    - Karádi Kristóf Kálmán
  • 16.

    Revision, consultation, midterm test.

    - Karádi Kristóf Kálmán
  • 13.

    Nonparametric methods: Wilcoxon test, Mann-Whitney U test.

    - Bódis Emőke
  • 12.

    Analysis of the means with t-test.

    - Bódis Emőke
  • 11.

    Analysis of the means with t-test.

    - Csepregi Kristóf
  • 10.

    Hypothesis testing: the u-test.

    - Csepregi Kristóf
  • 9.

    Hypothesis testing: the u-test.

    - Bukovics Péter
  • 8.

    Statistical hypothesis testing. Hypothesis testing: the sign test.

    - Trombitás Norbert
  • 7.

    Statistical hypothesis testing. Hypothesis testing: the sign test.

    - Huber Tamás
  • 6.

    Continuous probability distributions. Normal and lognormal distribution.

    - Bódis Emőke
  • 5.

    Continuous probability distributions. Normal and lognormal distribution.

    - Bukovics Péter
  • 4.

    The characteristics of population and sample: mean, dispersion and standard error. The elements of standard error calculation. Probability and probability distribution.

    - Huber Tamás
  • 3.

    The characteristics of population and sample: mean, dispersion and standard error. The elements of standard error calculation. Probability and probability distribution.

    - Huber Tamás
  • 2.

    Introduction. The applied statistical models. Planning and carrying out an experiment. Data analysis, frequency distributions and histogram.

    - Bódis Emőke
  • 1.

    Introduction. The applied statistical models. Planning and carrying out an experiment. Data analysis, frequency distributions and histogram.

    - Bódis Emőke

Szemináriumok

  • 13.

    Workshop. Discussion of case studies and Students' projects.

    - Bódis Emőke
  • 14.

    Revision, consultation, end semester test.

    - Bódis Emőke
  • 11.

    Regression analysis. Least squares principle.

    - Csepregi Kristóf
  • 12.

    Correlation analysis. Rank correlation.

    - Bódis Emőke
  • 8.

    Revision, consultation, midterm test.

    - Trombitás Norbert
  • 9.

    The chi-square test and its applications: goodness of fit test and test for independence.

    - Bukovics Péter
  • 10.

    Analysis of variance

    - Csepregi Kristóf
  • 7.

    Nonparametric methods: Wilcoxon test, Mann-Whitney U test.

    - Huber Tamás
  • 6.

    Analysis of the means with t-test.

    - Bódis Emőke
  • 5.

    Hypothesis testing: the u-test.

    - Bukovics Péter
  • 4.

    Statistical hypothesis testing. Hypothesis testing: the sign test.

    - Huber Tamás
  • 3.

    Continuous probability distributions. Normal and lognormal distribution.

    - Huber Tamás
  • 2.

    The characteristics of population and sample: mean, dispersion and standard error. The elements of standard error calculation. Probability and probability distribution.

    - Bódis Emőke
  • 1.

    Introduction. The applied statistical models. Planning and carrying out an experiment. Data analysis, frequency distributions and histogram.

    - Bódis Emőke

A tananyag elsajátításához szükséges segédanyagok

Kötelező irodalom

Homepage of the Department of Biophysics:

https://aok.pte.hu/en/egyseg/10/oktatasi-anyagok

Saját oktatási anyag

Homepage of the Department of Biophysics:

https://aok.pte.hu/en/egyseg/10/oktatasi-anyagok

Jegyzet

Homepage of the Department of Biophysics:

https://aok.pte.hu/en/egyseg/10/oktatasi-anyagok

Ajánlott irodalom

Statistics Openstax, ISBN-10: 1-947172-05-0, ISBN-13: 978-1-947172-05-0

Allan G. Bluman: Elementary statistics, ISBN 978–0–07–338610–2

Myra L- Samuels, Jeffrey A. Witmer, Andrew A. Schaffner: Statistics for the life sciences, ISBN-13: 978-1-292-10181-1

James Stewart, Troy Day: Biocalculus, ISBN-13: 978-1-133-10963-1

J. Pezzullo: Biostatistics for dummies, 2013, Wiley, ISBN 978-1-118-55399-2

A félév elfogadásának feltételei

none

Félévközi ellenőrzések

The grade is based on the average result of the two tests written during the semester (expected dates: week 7 and week 14).

Grading policy:

< 60% (1, fail)

60 ≤ result < 70% (2, satisfactory)

70 ≤ result < 80% (3, average)

80 ≤ result < 90% (4, good)

90 ≤ result (5, excellent)

In case of a failed exam, the result can be improved based on the rules of the Code of Studies and Examinations.

Távolmaradás pótlásának lehetőségei

The opportunity to make up for absence can be discussed with the course leader.

Vizsgakérdések

Principles of descriptive statistics. Data, types of data, data analysis and evaluation. Presentation of data on graphs, diagrams.

Probability, random variable, discrete (binomial) and continuous (normal, standard normal) statistical distributions.

Principles of inferential statistics. Statistical hypothesis testing, errors in the decision, family-wise error rate. Overview of parametric and non-parametric approaches.

Parametric approaches 1. (z-, and t-test)

Parametric approaches 2. (analysis of variance, F-test, ANOVA, posthoc tests (Tukey, Scheffe, Bonferroni))

Nonparametric approaches 1. (sign test, Wilcoxon, Mann-Whitney)

Nonparametric approaches 2. (Kruskal-Wallis, Friedman)

Correlation analysis. Scatter plot, correlation coefficient, the significance of the correlation coefficient, rank, rank correlation.

Regression analysis 1. Line of best fit, regression line equation. Coefficient of determination, the significance of R2, residual plots.

Regression analysis 2. Nonlinear regression.

CHI-squared test (goodness of fit, independence, homogeneity).

Vizsgáztatók

  • Bódis Emőke
  • Karádi Kristóf Kálmán

Gyakorlatok, szemináriumok oktatói

  • Bódis Emőke
  • Bukovics Péter
  • Csepregi Kristóf
  • Huber Tamás
  • Karádi Kristóf Kálmán
  • Trombitás Norbert