# numGen: numGen: A package for generating number series items. In numGen: Number Series Generator

## Description

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

## Item model 1

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

## Item model 2

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

## Item model 3

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

## Item model 4

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`

## Item model 5

Generate items with two sequences combined into one number series.
`imFive`

## Item model 6

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

## Item model 7

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`

## Item model 8

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

## Item model 9

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

## Item model 10

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`

## Item model 11

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`

## Item model 12

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`

## Item model 13

Combination of sequences and ratios.
`imThirteen`

## References

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.

numGen documentation built on May 2, 2019, 9:42 a.m.