After taking some time to think about the pseudo code it turned out that the formula is similar to the one of prediction trend accuracy (PTA)

PTA is described in

http://rapid-i.com/api/rapidminer-4.6/com/rapidminer/operator/performance/PredictionTrendAccuracy.htmlMeasures the number of times a regression prediction correctly determines the trend. This performance measure assumes that the attributes of each example represents the values of a time window, the label is a value after a certain horizon which should be predicted. All examples build a consecutive series description, i.e. the labels of all examples build the series itself (this is, for example, the case for a windowing step size of 1). This format will be delivered by the Series2ExampleSet operators provided by RapidMiner.

Example: Lets think of a series v1...v10 and a sliding window with window width 3, step size 1 and prediction horizon 1. The resulting example set is then

T1 T2 T3 L P

---------------

v1 v2 v3 v4 p1

v2 v3 v4 v5 p2

v3 v4 v5 v6 p3

v4 v5 v6 v7 p4

v5 v6 v7 v8 p5

v6 v7 v8 v9 p6

v7 v8 v9 v10 p7

The second last column (L) corresponds to the label, i.e. the value which should be predicted and the last column (P) corresponds to the predictions. The columns T1, T2, and T3 correspond to the regular attributes, i.e. the points which should be used as learning input.

This performance measure then calculates the actuals trend between the last time point in the series (T3 here) and the actual label (L) and compares it to the trend between T3 and the prediction (P), sums the products between both trends, and divides this sum by the total number of examples, i.e. [(if ((v4-v3)*(p1-v3)>=0), 1, 0) + (if ((v5-v4)*(p2-v4)>=0), 1, 0) +...] / 7 in this example.

In contrast to PTA I need a formula which calculates [(if ((v4)*(p1)>=0), 1, 0) + (if ((v5)*(p2)>=0), 1, 0) +...] / 7

In other words: The substraction is left out.

I would appreciate your help very much!!

Kind regards

Sachs