StatsCasts

In this video we look at an example of conducting a Chi-square test. We set up the null and alternative hypotheses, determine the significance level, calculate expected frequencies and the Chi-square statistic and use statistical tables to determine the critical value of the Chi-square statistic. We then use this information to make a decision about H0 and to write a conclusion.

In this video we look at how to use statistical tables to calculate probabilities in a Poisson distribution. This includes an example of using the table for the probability density function to determine the probability the random variable is equal to particular value in a case where the average number of events per interval needs to be adjusted to match the units specified in the question and an example of using the table for the cumulative distribution function to determine the probability the random variable takes a value between two specified numbers.

In this video we look at how to use statistical tables to calculate probabilities in a Poisson distribution. This includes an example of using the table for the probability density function to determine the probability the random variable is equal to a particular value and an example of using the table for the cumulative distribution function to determine the probability the random variable is less than a certain value and an example determining the probability it is greater than or equal to a certain value.

In this video we look at how to use statistical tables to calculate probabilities in a Binomial distribution. This includes an example of using the table for the probability density function to determine the probability the random variable takes a particular value and an example of using the table for the cumulative distribution function to determine the probability the random variable is less than or equal to a certain value and an example determining the probability it is greater than or equal to a certain value.

In this video we look at how to decide for a given scenario (worded problem) if the distribution described is a Binomial distribution or Poisson distribution and whether its probability distribution function or its cumulative distribution function is required to calculate a specified probability.

An example of the step by step process used to conduct a z test for the mean, with emphasis on the interpretation of the test statistic (z) and the p-value.

An example of using a standard normal distribution table to find the area under the standard normal curve to the right of a specified value of z and an example of using it to find the area under the standard normal curve between two values of z.

An introduction to reading a standard normal distribution table, with an example of how to use it to find the area under the standard normal curve to the left of a specified value of z.

An introduction to and example of using an inverse t distribution table to find the critical value of t for a two-tailed t-test.

An introduction to and example of using an inverse t distribution table to find the critical value of t for a one-tailed t-test.

Example of carrying out a one-sample z-test including hypotheses, signficance level, finding calculated value of t and comparing to critical value of z, making a decision and conclusion.

Examples of writing null hypothesis and alternative hypothesis both in words and symbols, for a one-sample hypothesis test for the mean. Notion of one-tailed and two-tailed tests are introduced.

Example of carrying out a one-sample t-test including hypotheses, signficance level, finding calculated value of t and comparing to critical value of t, making a decision and conclusion.

Understanding correlation coefficients.

Understanding the difference between experimental and observational units.

Selecting graphics to summarise data.

How to deconstruct a research question.

Understanding some of the issues in the design of experiments.

Computing the sample size needed to estimate a mean, using a conservative method, with 95% confidence.

Computing the sample size needed to estimate a proportion, using a conservative method, with 95% confidence.

Understanding simple linear regression.

Special cases of stem and leaf displays. Part 3 of 3.

Creating a stem and leaf display by hand. Part 1 of 3

Finding the median, quartiles and 5 number summary using a Stem and Leaf Display. Part 2 of 3