  # Statistical Calculator

## for Ranked Data Psi Tests  ## Statistical Calculatorfor Ranked Data Psi Tests

##### by Psychic Science

Procedure and Data

Ranking

Hit = Low Rank

Hit = High Rank

Number of items
in each Judging Set

2
3
4
5
6
8
10
12

Total Trials

Sum of Ranks

Statistical Analysis

Two-Tailed
One-Tailed
 MCE* Sum of Ranks: Critical ratio (z): Probability: Significance Level: Evidence for Psi-Hitting: Evidence for Psi-Missing:

*MCE = Mean Chance Expectation (sum of ranks by chance)

### Ranked Data

This calculator can be used to analyse data from parapsychological experiments in which data represent rank order judgments of the match between a target and a response.

This procedure is widely used in free response ESP experiments in which recorded "impressions" about a possible target are later ranked on the basis of their similarity to a judging set of several possible targets (the actual target plus one or more decoys).

The ranking may be done either by the person whose impressions are being examined, or by one or more independent judges. Of course it is vital that when the ranking is done, the actual target is not known by the person making the judgments. If using more than one judge, the rankings from the different judges should be averaged. The average ranks may then be used to determine the majority rank position. The following examples illustrate the procedure.

 Trial Set Ranks (One Judge) Ranks (Several Judges) (Target = Green) J1 J1 J2 J3 Mean Rank of Mean 1 A 3 3 1 2 2.00 2 B 2 1 2 1 1.33 1 C 1 2 3 4 3.00 3 D 4 4 4 3 3.67 4 2 E 4 4 3 3 3.33 3 F 3 3 4 4 3.67 4 G 1 2 1 1 1.33 1 H 2 1 2 2 1.67 2 3 I 2 1 1 1 1.00 1 J 3 3 4 4 3.67 4 K 1 2 2 3 2.33 3 L 4 4 3 2 3.00 2 Sum of Target Ranks 5 3

## Using Ranked Data Statistical Calculator

### Ranking Procedure

First, select the procedure used to rank the data. If a rank of 1 was used to indicate the preferred target, choose "Hit = low rank". If the preferred target was given the top rank (e.g., 4 in the above example), choose "Hit = high rank".

### Number of Targets in Judging Set

Next, select the number of targets used in the judging set (this must be the same for all trials). In the above example, this = 4.

### Trials and Sum of Ranks

Next enter the total number of trials and the Sum of Ranks (across all trials) given to the actual target. Then click "Calculate".

In the above example, trials = 3, Sum of Ranks = 5 (for one judge), Sum of Ranks = 3 (for several judges).

If there are sufficient data (at least 10 trials), statistical analysis will be performed.