Biofluorimetry Lab
Dipartimento di Fisiopatologia MedicaUniversity of Rome 'La Sapienza'
page created and maintained by Leopoldo Silvestroni & Simonetta Palleschilast update July 17, 2011
|
Analysis of data & Statistics
|
Topics in this page are heavily based on animations and interactivity
ABSRISK (estimates absolute risks from relative risks by age-specific mortality and morbidity data)
factoring algebraic expressions
multiplying algebraic expressions
radicals and rational exponents
Anova for condensed data sets (Java)
Anova for dependent populations (Java)
Anova: testing the means (Java)
Basic descriptive statistics (Java)
Bayesian "credible" intervals around an observed proportion
Bayesian statistical inference
Binomial distribution (normal approximation to- Java)
Calculus:
applications of maxima and minima
derivatives of logarithmic and exponential functions
functions from the numerical and algebraic viewpoints
functions from the graphical viewpoint
limits and continuity: numerical approach
limits and continuity: graphical approach
limits and continuity: algebraic approach
substitution in the indefinite integral
the derivative as rate of change: a numerical approach
the derivative as slope: a geometric approach
the derivative as a function: an algebraic approach
Case studies (social science and management)
Chaos, fractals and symmetry gallery
Cluster analysis
Chi-square: (1) (2) (3) (4) (5):
2x2 table (Fisher Exact and Chisq)
Dependency of Two Variables from
Categorized Data
up to 8 categories
Comparison of binomial proportions
Confidence intevals for two populations
Confounding effects with unequal sample sizes
Confidence intervals of a sum, difference, quotient or product
Correlation and regression calculator
minimum significant for a given sample size
up to 42 r values, with a postulated population r value
Correlation coefficients:
Cox proportional hazards analysis
Cox proportional hazards survival regression analysis
CurveExpert (comprehensive curve fitting system for Windows)
Curve fitting (smoothing, parameter estimation, data correlation)
Data and story library (datafiles and stories illustrating the use of basic statistics methods)
Data modeling (powerful interactive 2D & 3D; built-in equations & functions)
Descriptive statistics Java applets (histograms, boxplots, and scatterplots)
Descriptive statistics, histograms, charts
Differences between two observed proportions (based on the binomial distribution)
Discrete variables (goodness of fit)
Don't panic! (guide to methods)
DISCUS - discovering important statistical concepts using spreadsheets
EasyReg (multi-featured program for data manipulation and analysis)
Elementary statistics (online resources)
Empirical distribution function
Error:
Evidence-based medicine (EBM) calculator
descriptives stats, histograms, outlier detection, normality testing, etc
directions for a Sample Research Project
directions for calculating Descriptive Statistics
EZAnalyze (correl; one-sample, ind samples, paired samples t-tests; chissq; single factor Anova)
first and second derivative graphing utility
introductory statistical analysis
linear multiple and polynomial regression
numerical modeling with spreadsheets
PopTools (analysis of matrix population models & simulation of stochastic processes)
Riemann sum grapher (graph with the area corresponding to the left-sum approx. of the integral)
tolerance intervals for the normal distribution
weighted least squares linear fits
Exponential distribution: Lilliefors test
Factorial between-subjects Anova
Finite mathematics:
applications of systems of equations
conditional probability and independence
functions from the graphical viewpoint
functions from the numerical and algebraic viewpoints
matrix addition and scalar multiplication
simplex method for non-standard linear programming problems
simplex method for standard linear programming problems
systems of two equations in two unknowns
using matrices to solve systems of equations
First Bayes (teaching package for elementary Bayesian statistics)
Fisher exact (2x2) (1) (2) (3) (4) (5) (6)
Fits: linear, parabolic, cubic with graph
Fits: (linear, polynomial, exponential, descending exponential, Gaussian;with graph)
Fitting models to biological data by linear and non-linear regression
Forecasting by Smoothing (gives the next num. by mov avg & exp smoot, weighted mov avg, and double & triple exp smoothing)
Fourier synthesis (Java with sound)
Friedman test for comparing rankings (non-parametric)
General statistical analysis programs:
R project for statistical computing
Rice virtual lab: analysis lab
Geometry interactive Java gallery
Graphical statistics (Java pages & QuickTime pages)
Graphing and Statistical Analysis software packages (33)
Hypothesis testing (the logic of)
Hypothesis testing with standard errors
Hypothesis testing: subjectivity
Index numbers with applications
Interactive programming environments
Introduction to:
probability (1) (2) (3) (4) (basical)
statistical concepts, models, applications
k-s test for equality of two populations
Learning:
Chisqu test for analyzing contingency tables
statistical chart tutor (reading statistical tables)
StatPak statistical package (JavaScript)
StickiGui (interactive online statistics course, by prof. Philip Stark)
VESTAC (Java applets for statistical concepts)
virtual laboratories in probability and statistics (Eng - It)
Least-squares, non-linear, curve fitter
Least-squares, non-linear, curve fitter (up to 8 n-l parameters & to 10 indep. variables)
Least squares regression line and Pearson correlation coefficient
Least squares straight line (1 & tutorial) (2) (3)
Lilliefors test for exponentiality
Linear correlation and regression
Linear regressions: comparison of two
Linear regression (up to 84 points with residual analysis)
Links:
large collection of mathematical and statistical links
links to mathematical Java applets (including statistics)
list of statistics-related resources
Logistic regression (1) (2)
Manuals/Tutorials/Courses online:
2 by 2 Tables and Mantel-Haenszel
advanced statistics & optimization
amazing applications of probability and statistics
arteology or the science of artefacts
basic principles of statistical analysis
concept visualization (Java applets):
concepts and applications of inferential statistics
data measurement: a simple workbook
electronic encyclopedia of statistical examples and exercises (EESEE)
electronic statistics textbook
encyclopedia of integer sequences
experimental design & sampling (Java applets)
glossary of statistical terms (from Statlets)
glossary of statistical terms used in evidence-based medicine
glossary of statistics (alphabetical) by subject)
glossary of statistics (in particular re-randomisation statistics)
glossary (from HyperStat online textbook)
Graphpad (web site of statistical resources)
guide to basic laboratory statistics (Java)
InStat guide to choosing and interpreting statistical tests
interpreting regression output
introductory statistics course:the entity-property-relationship approach
knowledge base (online research methods textbook)
linear regression / correlation demo (Java)
little handbook of statistical practice
multivariate statistics (concepts, models, applications, introduction)
non-linear regression complete guide
numerical recipes - the art of scientific computing (2nd ed.)
pink monkey statistics study guide
practical regression and Anova in R
probability and statistics (Java demos)
probability theory - The logic of science
statistical data mining tutorials (slides by Andrew Moore)
statistics - the study of stability in variation
statistics for molecular biology and bioinformatics
statistics glossary (Lancaster University Center for Applied Statistics)
statistics glossary (from StatSoft)
statistics lab manual (Excel)
Student's t-test for independent samples
Wilcoxon matched-pairs signed ranks test
WINKS descriptive statistics program tutorial (Start Guide (PDF) - Manual 4.8):
Pearson's correlation coefficient
independent group analysis of variance (one-way Anova)
Mann-Whitney test (2-group non-parametric comparison)
Kruskal-Wallis test (3 or more group non-parametric comparison)
Friedman's test (non-parametric repeated measures comparisons)
comparing two groups (t-test tutorial)
creating databases using random number generation
parametric and non-parametric analyses
why to use multiple comparisons?
preparing excel data for import into WINKS
Means (arithmetic, geometric & harmonic)
Median test for unmatched pairs
Multiple lin reg (up to 4 independent variables and 16 data points)
Multiple lin reg (up to 16 data points and up to 4 independent variables)
Multiple regression, automatic
Multivariate linear or univariate polynomial regression
Non- linear regression (a complete guide)
Normal approximation to the binomial distribution (Java)
Normal distribution utility (areas under the normal curve)
Numerical integration utility (left-, right-, trapezoid, and Simpson's rule sums also graphed)
Observed vs. expected rates of occurrence of events
One-way Anova:
from summary data (N, mean, and SD or SEM)
One-way repeated-measures Anova for 3 correlated samples
One-way repeated-measures Anova for 4 correlated samples
Online calculators (basic statistics)
.OpenStat (for Win 95/98/NT: data manipul & analysis capabilities & an SPSS-like user interface) + downloadable textbook
Outliers:
detector & scatter diagram up to 84 points
p-values for the popular distributions
PAMCOMP (Win applic for calculating person-years and standardised mortality ratios - SMRs)
Partial Least Squares Regression
Pattern recognition starting web point
Pearson correlation coefficient
Percentage estimation & testing
Population testing for homogeneity
Power, sample size and experimental design
Power tables (links to printable copies)
Probabilistic problems and simulations (Java)
Probability distribution functions (tables, graphs, random number generators)
Probability and Statistics (web-oriented taching resources)
Probability and the Buffon's needle
Qualitative data analysis: technologies and representations (ethnography)
Qualitative data analysis - what is?
Quantitative techniques gallery
Regression (1) (2) (Java applet)
Regression and GLM calculator (linear, Poiss., binomial and Gamma regr., canonical, identity, logit, log, probit, inverse & cloglog functions)
Sample comparisons: t-tests, Anovas, non-parametric comparisons
Selecting the right kind of analysis
SI system of units:
SigmaD (epidemiology measurement standardization)
Significance level corresponding to a correlation coefficient
Simple Regression (gives the equation of the line or exponential curve through two points)
Spearman's rank correlation (non-parametric) (1) (2) (3) (4 from cross-tabbed data)
STAT 100 (Experimental Interactive Statistics Pages, Java applets)
Statlets - Java applets for statistical analysis
Statistical:
data analysis: revealing facts from data (cool!)
Java applets (1) (2) (3) (4, signal & noise)
software - free (1) (2) (3) (4) (5) (6):
tables (printable, PDF):
critical values for:
Student t, Fisher F, studentized range statistic and Dunnett's test, chi-square, binomial test, Wilcoxon ranked-sums test, Wilcoxon signed ranks test and correlation coefficient
required sample size for various tests
statistical power of:
t-test for one sample or two related samples
analysis of variance and correl. coefficient
concepts (Java)
News Groups:
Stef's HTML equation generator
Straight-line fitting: variations when X and Y have error
Subjective assessment of estimates
Survival data analyasis Java applets (1) (2)
t-test paired (1) (2) (3) or unpaired (1) (2) (3)
Teoria della probabilità
(ABC)
Tests for two dependent samples
Tests for >two dependent samples
Tests for two independent samples
Tests for >two independent samples
The american statistician software archive
Time
series data library
Time
series plotter
Tolerance itervals for the normal distribution
Trend & autocorrelation detector in time series
Uniform distribution (Kolmogorov-Smirnov test for consistency with a uniform distribution)
Univariate and multiple regression
ViSta - the visual statistics system:
VRML file generator to view 3-dimensional (x,y,z) data
Web interface for statistical education (tutorials & applets)
Web pages that perform statistical calculations
Wilcoxon signed-ranks test for matched pairs
WinIDAMS (numerical information processing and statistical analysis)
Within-subjects/repeated measures Anova
Www statistics calculators (1) (2)
Work in progress…. see You soon
Main reference sites:
Advanced Statistics and Optimization - Businnes Book Mall - Dr.Hossein Arsham's Remarkable Web Site - EBI services - Epidemiologic Software & Resources - ERIC Clearinghouse on Assessment and Evaluation - Genamics SoftwareSeek - John C. Pezzullo's Home Page - LabVelocity - Merriam-Webster Dictionary and Thesaurus - Multimedia Statistics Page - Rainer's Web Site for Statisticians - Rice virtual lab of statistics - Statnotes: Topics in Multivariate Analysis, by G. David Garson - StatPages.Net - Statistical Resources on the Web - Statistics.com - Statistics Primer - Statlib archive - The Science Advisory Board - Virtual Library