Description Item model 1 Item model 2 Item model 3 Item model 4 Item model 5 Item model 6 Item model 7 Item model 8 Item model 9 Item model 10 Item model 11 Item model 12 Item model 13 References

The numGen package provides 14 item models for generating number series items.

This number series generates simple linear sequences with a magnitude of up to 5000.

`imOne`

This number series generate sequences consist of elements belonging to two homogeneous groups with equal number of elements.

`imTwo`

This function allows you to select one of the four arithmetic operators following a sequence succession rule.

`imThree`

This create items that relates to comprehension of abstract object representation (Item model 5) and Identification of co-occurring relationships between elements (Item model 4).

`imFour`

Generate items with two sequences combined into one number series.

`imFive`

This model uses the addition and substraction (Arithmetic) operator, Linear pattern and Progressive coefficient to create the number series.

`imSix`

This function creates number series that is a combination of Arithmetic, Linear and Complex coefficient.

First logic of complex coefficient = i*x+y.

Second logic of complex coefficient = (i+x)*y.

`imSeven`

This is based on the categorical / pattern recognition rule. Neighbouring pairs or triads of objects are related, includes arithmetic operations.

`imEight`

This function creates Fibonacci sequences. The maximum number to be generated is 15 items.

`imNine`

The number series is a combination of Arithmetic, linear sequence and progressive coefficient.

First logic is combining sequences x y x y x y x y = one simple (cannot be controlled), one progressive.

Second logic is combining sequences x y x y x y x y = two progressive.

`imTen`

Neighbouring objects + 2-sequence coefficient.

This function creates number series that is a combination of Neighbouring objects + 2-sequence coefficient.

Multiplication and Division is removed since the calculated value is too big.

`imEleven`

This function creates number series that is a irregular combination of sequences a b b a b b a ...

Only the addition and substraction arithmetic operators are used to create the number series items.

`imTwelve`

Combination of sequences and ratios.

`imThirteen`

LeFevre, J. A., & Bisanz, J. (1986). A cognitive analysis of number-series problems: Sources of individual differences in performance. *Memory & Cognition*, 14(4), 287-298.

Holzman, T. G., Pellegrino, J. W., & Glaser, R. (1983). Cognitive variables in series completion. *Journal of Educational Psychology*, 75(4), 603.

Simon, H. A., & Kotovsky, K. (1963). Human acquisition of concepts for sequential patterns. *Psychological Review*, 70(6), 534.

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