Anne

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Statistical Data Analysis

Mathematics & Statistic Tutor Perth - SPSS Help   

Descriptive Statistics

Most First Year Statistics units start with Descriptive Statistics

Describing the data may be  in terms of pictures, numerical measures and probability. 
We distinguish between populations and samples, Box plots (5 number summary calculations), Stem and Leaf plots, and Measures of Central Tendency and Variation.

Click here for short notes

Currently being updated
 but click to revisit the old material  apologies for the bad format and handwriting

Formula for Descriptive Statistics

Central Tendency and Variation have numerical measures that are coupled together. Mean and Standard Deviation are one, and Median and Interquartile Range are another.
Each couple are used when we have looked at the distribution.
We can transform are data adding and multiplying by numbers, this affects our measures.

Click here for short notes

Normal Distributions

Normal distribution is a continuous distribution and one of the most commonly used one.  It will be come more important when we study Tests of Significance or Hypothesis Testing.
We will calculate a probability of being greater than or less than a number and the score or the number where so many percent is greater than or less than where you are given the percentage or probability.

Click here for short notes

Central Limit Theorem

This is a very important theorem and will help with Normality assumptions.

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Sampling Distribution of the Sample Mean

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Confidence Interval

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t scores and t tables

Click here for video explanation

Flowchart for when to use z or t

This is a common problem in statistics units, you will need to pay attention to the population distribution, sample size and which standard deviation, population or sample.

Click here for video explanation
Click here for flowchart

The reasoning behind Hypothesis Testing or
Tests of Significance

This is now Inferential Statistics and often students find this part difficult to cope with and apply to other situations.  So try this very basic explanation to  set you on to the path of statistical understanding.

Click here for short notes
 

Simple Explanation of Tests of Significance
using Critical Value and P-Value.

These summary slides may explain the steps to solving questions Hypothesis Testing or Test of Significance involving a single mean.  You may be able to utilise these notes in a test.

Want to listen to short explanations
of
Hypothesis Testing or Tests of Significance?

Two Sample Hypothesis Testing
or Tests of Significance?

SPSS Two Sample Hypothesis Testing
or Tests of Significance?

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