# SMARTE

The Stanford Mental Arithmetic Response Time Evaluation (SMARTE) is part of the Neuro-Cognition group of tests administered in the ABCD study. It is a series of three math tasks, designed to measure a participant's math ability. In the ABCD study, SMARTE runs cohesively as one big math task via Inquisit by Millisecond on an iPad. There is also a version running on Pavlovia that we are piloting in the lab and will be sharing soon.

 Enumeration Items are dots, ranging from 0 to 9 dots: 0-4 dots: Used for test problems (Subitizing) 5 dots: Used for practice problems 6-9 dots: Used for test problems (Grouped vs. Ungrouped) Phase A Items are single-digit arithmetic problems, oriented veritcally. Answers are smaller than 9. Problems either follow a rule (N ± 0, N ± 1, N ± N) or do not (No Rule). Phase B Items are mixed-digit arithmetic problems, oriented vertically.  First operand is a double-digit number. Second operand is a single-digit number ranging from 0-9. Answer is a double-digit number. Problems either involve a carry/borrow step (Regrouping) or not (No regrouping). Phase C Items are 24 Mixed-digit arithmetic problems, oriented vertically or horizontally. First operand is a double-digit number. Second operand is a single-digit number ranging from 0-9. Answer is a double-digit number. Problems either involve a carry/borrow step (Regrouping) or not (No regrouping). Phase D Challenging double-digit operations (both operands are double digits) requiring regrouping. Vertical or Horizontal orientation. There are also inference problems where first operand is given, second operand is blank, and answer is given (horizontal orientation).

## Summary Variables

SMARTE automatically calculates summary variables for each subject's session. In the ABCD Study, there are a total of 52 curated summary variables. There are three levels of analysis:

1. Single raw score aggregating the number of correct items across 6 minutes of test time.
2. Number of correct items completed per minute, by subgroup (Enumeration, Single Digit Fluency, Multi Digit Fluency).
3. Response times and accuracy, by contrasts within subgroups.  They are illustrated in the following table:
Module Dot enumeration dot sdf mdf Dot enumeration Single-digit arithmetic Multi-digit artihmetic 1to4subit 6to9group 6to9noregroup Subitzing (up to four dots) Grouped arrays Ungrouped arrays rule norule Rule items (N ± 0, N ± 1, N ± N) No-rule items noregroup regroup challenge Regrouping required No regrouping required Challenge items from Phase D nt corr to err acc rt number of items presented number of correct responses number of timeouts number of errors proportion correct response mean reaction time for correct responses

In progress.