calc_SE

Function to calculate the theoretical true (unadjusted) standard
error of the ATE estimate for a given d_m and model, in effect size units.

internal

Estimates power, minimum detectable effect size (MDES) and sample size requirements. The context is multilevel randomized experiments with multiple outcomes. The estimation takes into account the use of multiple testing procedures. Development of this package was supported by a grant from the Institute of Education Sciences (R305D170030). For a full package description, including a detailed technical appendix, see <doi:10.18637/jss.v108.i06>.

Luke Miratrix

PUMP

Power Under Multiplicity Project

Kristen Hunter

Zarni Htet

Kristin Porter

MDRC 

Institute of Education Sciences 

calc_SE function

<dl><dt>d_m</dt>
<dd>a single RCT d_m (see list/naming convention).</dd>
<dt>J</dt>
<dd>scalar; the number of schools</dd>
<dt>K</dt>
<dd>scalar; the number of districts</dd>
<dt>nbar</dt>
<dd>scalar; the harmonic mean of the number of units per school</dd>
<dt>Tbar</dt>
<dd>scalar; the proportion of samples that are assigned to the
treatment</dd>
<dt>R2.1</dt>
<dd>scalar, or vector of length M; percent of variation explained by
Level 1 covariates for each outcome</dd>
<dt>R2.2</dt>
<dd>scalar, or vector of length M; percent of variation explained by
Level 2 covariates for each outcome</dd>
<dt>R2.3</dt>
<dd>scalar, or vector of length M; percent of variation explained by
Level 3 covariates for each outcome</dd>
<dt>ICC.2</dt>
<dd>scalar, or vector of length M; school intraclass correlation</dd>
<dt>ICC.3</dt>
<dd>scalar, or vector of length M; district intraclass correlation</dd>
<dt>omega.2</dt>
<dd>scalar, or vector of length M; ratio of school effect size
variability to random effects variability</dd>
<dt>omega.3</dt>
<dd>scalar, or vector of length M; ratio of district effect size
variability to random effects variability</dd></dl>

Arguments

Computes Q_m, the standard error of the effect size estimate — calc_SE

<dl>

<dt>d_m</dt>
<dd>a single RCT d_m (see list/naming convention).</dd>


<dt>J</dt>
<dd>scalar; the number of schools</dd>


<dt>K</dt>
<dd>scalar; the number of districts</dd>


<dt>nbar</dt>
<dd>scalar; the harmonic mean of the number of units per school</dd>


<dt>Tbar</dt>
<dd>scalar; the proportion of samples that are assigned to the
treatment</dd>


<dt>R2.1</dt>
<dd>scalar, or vector of length M; percent of variation explained by
Level 1 covariates for each outcome</dd>


<dt>R2.2</dt>
<dd>scalar, or vector of length M; percent of variation explained by
Level 2 covariates for each outcome</dd>


<dt>R2.3</dt>
<dd>scalar, or vector of length M; percent of variation explained by
Level 3 covariates for each outcome</dd>


<dt>ICC.2</dt>
<dd>scalar, or vector of length M; school intraclass correlation</dd>


<dt>ICC.3</dt>
<dd>scalar, or vector of length M; district intraclass correlation</dd>


<dt>omega.2</dt>
<dd>scalar, or vector of length M; ratio of school effect size
variability to random effects variability</dd>


<dt>omega.3</dt>
<dd>scalar, or vector of length M; ratio of district effect size
variability to random effects variability</dd>

</dl>

calc_SE: Computes Q_m, the standard error of the effect size estimate

Description

Usage

Value

Arguments