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Statistical Tests

Inferential Statistics

Inferential statistics are calculations performed to determine if experimental trends are statistically significant or are due to chance

  • Statistical significance is represented by a p value (probability of chance), with a result considered significant if there is less than a 5% probability that it is due to chance (p<0.05)

A statistical test will involve two distinct hypotheses – one will be supported by the test and one will be rejected

  • Null hypothesis (H0): There is no difference between the independent and dependent variables (results are due to chance)

  • Alternative hypothesis (HA): There is a statistically signficant difference between the independent variable and dependent variable

Different types of statistical tests are utilised according to the type of data being analysed:

  • Chi-squared test: Used when the data is in frequencies or counts to determine a ‘goodness of fit'

  • T-test: Compares the means of two sets of data to determine if a difference is significant (sample size > 10)

  • ANOVA: Compares the means of three or more groups to determine if a difference is significant (sample size > 30)

    • Following an ANOVA test, a post-hoc Tukey HSD test is required to determine which of the groups are significantly different

Each statistical test produces a value that must exceed a critical value to be considered statistically significant

  • The critical value typically represents a p value of 0.05 – if this is exceeded the null hypothesis is rejected

Distribution Tables