How to conduct a sign test
Step 1 - State the hypotheses- this includes both the alternative and the null hypothesis
Step 2 - Record data and work out the sign. For example, the sign will be negative (-) if the value has decreased in the second condition but positive (+) if it has increased. If the value has stayed the same , this value will be ignored and the N adjusted to exclude it
Step 3- Find the calculated value for the sign test, S, which is the number of times the less frequent sign occurs
Step 4 - Find the critical value of S - use the calculated N value (which is the total number of values with the ignored values excluded) and p≤ 0.05 which means there's a less than 5% probability that the results occurred by chance
If S ≤ critical value- reject the null hypothesis, there is a significant difference
If S ≥ critical value - accept the null hypothesis, there is no significant difference
Step 5 - State conclusion whereby you refer back to the hypothesis mentioning the IV and DV and support your conclusion with the exact values of the critical value, S, N and what p value you used