Pages: 422
7 - Statistics and Probability (option)XLatest Additions
8046Estimation : Confidence intervals : Exam Question
7938Discrete Random Variables : Expectation theory : Exam Question
7936Correlation and Regression : Regression : Exam Question
7934Correlation and Regression : Correlation : Exam Question
7802Discrete Random Variables : Expectation theory : Exam timed O-test
7801Correlation and Regression : Regression : Exam timed O-test
7800Correlation and Regression : Correlation : Exam timed O-test
7760Goodness of fit : XTRA : Mendel's genetics 1
7759Goodness of fit : XTRA : Mendel's genetics 2
7750The Poisson Distribution : Probabilities : Timed O-test
7716The Binomial Distribution : Probabilities : Timed O-test
7715Correlation and Regression : Regression : Timed O-test
7712Correlation and Regression : Correlation : Timed O-test
7692Discrete Random Variables : Expectation theory : Exam O-test 3
7691Correlation and Regression : Regression : Exam O-test 2
Definition of Bernoulli Trial
Find the expectation
Find the variance
Expectation
Mean and variance
More on expectation
Linear functions
Linear functions 2
Using a GDC
O-test
Exam O-test 2
Exam O-test 3
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2001
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2011
Randomised Exam Q 2014
Computer game
TV quiz
Darts
Darts 2
Random variable
Expectation
Expectation 2
Expectation 3
Variance
Exam O-test
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Definition
Expectation and variance
Expectation and variance 2
Definition
Expectation and variance
Expectation and variance 2
A basic example
The dice experiment
Expectation and variance
Expectation and variance 2
O-test
Factorial
Permutations
Permutations 2
Combinations
Combinations 2
Factorial on a GDC
Exam O-test
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Expectation and variance
Expectation and variance 2
Timed O-test
O-test
Randomised Exam Q 2004
Compare
Compare 2
Compare 3
Randomised Exam Q 2000
Randomised Exam Q 2007
Finding probabilities
Finding probabilities 3
Use of tables
Finding probabilities 2
Finding probabilities 4
Finding probabilities 5
Sum of two distributions
Sum of two distributions 2
Probabilities using a GDC
Probabilities using a GDC 2
Probabilities using a GDC 3
Quick test
O-test
Timed O-test
Randomised Exam Q 2006
Horse kicks
Typesetter errors
Lightning strikes
Lightning strikes 2
Motorway accidents
Checkout queues
Telephone calls
Motorway services
Radioactivity
Answering machine
Cherry buns
O-test
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2004
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
An experiment
Poisson probabilities
Poisson probabilities 2
Poisson probabilities 3
Poisson probabilities 4
Combining normal distributions
Combining normal distributions 2
Probabilities
Probabilities 2
Probabilities 3
Probabilities 4
Temperature
Box
Bottles of wine
Exam time
Batteries
Cherry cakes
Vending machine
Sheets of paper 1
Sheets of paper 2
Rods and tubes
Mean mass
O-test 1
O-test 2
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2006
Randomised Exam Q 2008
Randomised Exam Q 2008
Graphing X+Y
Graphing X-Y
Graphing aX
Graphing aX+bY
Graphing aX-bY
To the Binomial 2
To the Binomial 3
To the binomial
Boys and girls
Tetrahedral die
Coins
Definition
Expectation
Mean and variance
Probabilities
Visualise Continuous Uniform Dist.
Probabilities 2
Using calculus
A piece of string
Find the distribution
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2009
Find F(x) 1
Find F(x) 2
Find F(x) 3
Find F(x) 4
Find the pdf
Exam O-test 1
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2003
Randomised Exam Q 2003
Randomised Exam Q 2006
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Definition
Illustration
Illustration 2
Illustration 3
Binomial distribution
Using integration
O-test
Weights confidence interval
Illustration
Graphing a confidence interval
Finding a confidence interval
Aptitude test confidence interval
Nails confidence interval
Sweets confidence interval
Large samples
Confidence intervals on a GDC
Confidence intervals on a GDC 2
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2002
Randomised Exam Q 2006
Randomised Exam Q 2008
Standard error
Distribution of the sample mean
Distribution of the sample mean 2
Unbiased estimators
Unbiased estimators 2
Matching O-test
Randomised Exam Q 2000
Hypothesis testing is concerned with the DISTRIBUTION of a STATISTIC. You know that in real world problems, measurements such as people's heights or the number of heads in 100 coin tosses, are random variables. Often we cannot know all the measurements in a population but take a smaller SAMPLE. The important concept here is that a STATISTIC (such as the mean, median or standard deviation) of a sample is a RANDOM VARIABLE too.
Biased coin
Voting intentions
Multiple choice test
The parameter p
Critical regions O-test
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2003
Randomised Exam Q 2004
Randomised Exam Q 2006
Randomised Exam Q 2008
One and two tailed tests
Matching O-test 1
Matching O-test 2
Matching O-test 3
Breaking strain
Factory components
IQ
French loaves
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2007
Testing a sample mean 4
Testing a sample mean 2
Critical values and regions
Testing a sample mean
Testing a sample mean 3
Mean with known variance
Testing 2 means on a GDC
Testing a sample mean on a GDC
Testing (true or false)
Testing a Binomial distribution
Testing (true or false) 2
O-test 1
Confidence interval for paired data
Finding a confidence interval 4
Finding a confidence interval 3
The two sample t-test 2
Paired t-test 2
Paired t-test
Hypothesis test for sample mean 2
Hypothesis test for sample mean
Finding a confidence interval 2
Finding a confidence interval
Finding a confidence interval 5
Use of t-tables
The two sample t-test
Confidence intervals on a GDC
Test for sample mean on a GDC
Type I errors
Type I errors 2
Type II errors
Type II errors 2
Calculate the PMCC
Football
Two dice
Babies
Calculate the PMCC 3
Calculate the PMCC 2
Calculate Sxx, Syy and Sxy 2
The PMCC
Calculate Sxx, Syy and Sxy 1
Plotting points
Guess the PMCC
Calculate the PMCC
Population v. area
Traffic accidents
Sheep
Calculate the PMCC on a GDC
O-test 1
Timed O-test
Exam O-test 1
Exam O-test 2
Exam timed O-test
Randomised Exam Q 2001
Randomised Exam Q 2001
Randomised Exam Q 2003
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2010
Randomised Exam Q 2011
PMCC tables
PMCC hypothesis test
O-test 2
Randomised Exam Q 2000
Calculate the regression line 3
Use the regression line 2
Football
Scatter diagrams
More on Scatter diagrams
The y on x line
Least squares
Using the mean point
Calculate the regression line
Calculate the regression line 2
Using the regression line
Vocabulary
The regression line on a GDC
Correlation & regression on a GDC
Timed O-test
O-test
True or false
Exam O-test 1
Exam O-test 2
Exam timed O-test
Randomised Exam Q 2000
Randomised Exam Q 2001
Randomised Exam Q 2002
Randomised Exam Q 2003
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2009
Randomised Exam Q 2010
Randomised Exam Q 2011
Hypothesis test
Hypothesis test 2
Find Spearman's coefficient 2
Find Spearman's coefficient
The 10 richest rock musicians
The 10 largest countries
The 10 most populated countries
The 10 poorest countries
The 10 richest countries
The 10 highest earning films
10 life expectancies
No correlation
Ranking data
Spearman tables
Exam O-test
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Mindmap
Formulae
Introduction
2x2 contingency tables
Expected frequencies
Test statistic
Employee training
Crime and alcohol
Yates correction
Contingency tables on a GDC
Contingency tables on a GDC 2
O-test 1
O-test 2
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2008
Uniform and Normal distributions
Using tables
Fitting a uniform distribution 2
Fitting a uniform distribution
Fitting a Binomial distribution
Fitting a Binomial distribution 3
Fitting a Binomial distribution 2
Fitting a Binomial distribution 4
Fitting a Poisson distribution 2
Fitting a Poisson distribution
Fitting a Poisson distribution 3
Fitting a Poisson distribution 4
Binomial or Poisson?
A continuous uniform distribution
Fitting a Normal distribution
Summary
O-test 1
O-test 2
O-test 3
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2006
Mendel's genetics 1
Mendel's genetics 2