Biostatistics

Code:

NC1105

Acronym:

BIOEST

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2010/2011 - 1S

Active?	Yes
Course/CS Responsible:	Master in Clinical Nutrition

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
NC	19	Oficial Plan	1	-	4	36	108

Teaching language

Portuguese

Program

1 Random variable:
a) Notion of random variable;
b) Scales of measurement of random variables: nominal, ordinal, interval, ratio, discrete and continuous.

2 Study of samples:
a) Notions of population and sample;
b) The importance of sampling, random sampling;
c) Notion of statistic and sampling distribution;
d) Distribution of the measures of the mean and variance of the sample.

3 Descriptive statistics:
a) Statistical series and grouped data;
b) Tables of frequency, relative frequency, cumulative frequency, cumulative relative frequency and relative density;
c) Graphical representation of data: Stem and Leaf diagram, Box and Whiskers plot; bar chart, hystogram, frequency polygon and density polygon;
d) Localization parameters: Mean, Median, Mode and Percentile;
e) Dispersion and shape parameters: variance (with Sheppard correction), standard deviation, dispersion coefficient, skewness and kurtosis.

4 Relation between pairs of variables:
a) Crosstabs, odds ratio, agreement and Cohen's kappa;
b) Dispersion plots, Pearson and Spearman correlation coefficients;
c) Linear regression;
d) Bland and Altman plot, root mean square.

5 Estimators:
a) Notion and properties;
b) Point estimators for the mean and variance;
c) Interval estimators.

6 Hypothesis testing:
a) Null Hypothesis and Alternative Hypotyhesis;
b) Type I error and type II error;
c) Significance level and power of the test;
d) Rejection and acceptance regions;
e) Bilateral and unilateral testing;
f) Statistic of the test and its distribution;
g) Application of some statistical tests: Kolmogorov-Smirnoff and Shapiro-Wilk for the Normality of the distribution; z-test for the means of one sample, two paired samples and two independent samples; t-Student for the means of one sample, two paired samples and two independent samples; chi-square for the variance; F-Snedecor for the variance ratio; sign test and McNemar for two paired samples; Wilcoxon for the median of the differences between two paired samples; Mann-Whitney for the differences between the medians of two independent samples; do chi-square for the independence, adjustment and homogeneity; univariate analysis of variance (ANOVA); Friedman for the median of the differences between three or more paired samples; Kruskal-Wallis for the differences between the medians of three or more independent samples.

7 Linear regression analysis and logistic regression analysis.

8 Notions of multivariate analysis:
a) Multivariate analysis of variance (MANOVA);
b) Principal component analysis;
c) Cluster analysis.

Mandatory literature

Daniel Wayne W.; Biostatistics. ISBN: 0-471-16386-4
Guimarães Rui Campos; Estatística. ISBN: 972-8298-45-5

Complementary Bibliography

Clegg Frances; Estatística para todos. ISBN: 972-662-411-8

Software

Excel
R
SPSS

keywords

Physical sciences > Mathematics > Statistics > Medical statistics
Physical sciences > Mathematics > Statistics

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	33,00
Final exam	Exame	3,00
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Study	Estudo autónomo	72
	Total:	72,00

Calculation formula of final grade

Final examination only.

Observations

The final exam may be a written exam, an oral exam or both.