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1 change: 1 addition & 0 deletions R/pkonfound.R
Original file line number Diff line number Diff line change
Expand Up @@ -59,6 +59,7 @@
#' \item{starting_table}{Observed 2 by 2 table before replacement and switching. Implied table for logistic regression.}
#' \item{final_table}{The 2 by 2 table after replacement and switching.}
#' \item{user_SE}{user entered standard error. Only applicable for logistic regression.}
#' \item{needtworows}{whether double row switches are needed.}
#' \item{analysis_SE}{the standard error used to generate a plausible 2 by 2 table. Only applicable for logistic regression.}
#' \item{Fig_ITCV}{figure for ITCV.}
#' \item{Fig_RIR}{figure for RIR.}
Expand Down
12 changes: 11 additions & 1 deletion README.Rmd
Original file line number Diff line number Diff line change
Expand Up @@ -42,7 +42,7 @@ devtools::install_github("konfound-project/konfound")

## pkonfound() for published studies

`pkonfound()`, for published studies, calculates (1) how much bias there must be in an estimate to invalidate/sustain an inference, and interprets in terms of how much data would need to be replaced to nullify an inference; (2) the impact of an omitted variable necessary to invalidate/sustain an inference for a regression coefficient:
`pkonfound()`, for published studies, calculates (1) how much bias there must be in an estimate to invalidate/sustain an inference, and interprets in terms of how much data would need to be replaced to nullify an inference (Robustness of an Inference to Replacement, RIR); (2) the impact of an omitted variable necessary to invalidate/sustain an inference for a regression coefficient (Impact Threshold of a Confounding Variable, ITCV). RIR is reported by default. ITCV can be generated by specifying `index = "IT"`.

```{r, eval = T}
library(konfound)
Expand All @@ -53,6 +53,11 @@ pkonfound(est_eff = 2,
std_err = .4,
n_obs = 100,
n_covariates = 3)
pkonfound(est_eff = 2,
std_err = .4,
n_obs = 100,
n_covariates = 3,
index = "IT")
```

## konfound() for models fit in R
Expand All @@ -71,6 +76,11 @@ Sensitivity analysis for the effect for `wt` on `mpg` can be carried out as foll
konfound(m1, wt)
```

Similar to `pkonfound`, ITCV can be generated by specifying `index = "IT"`.
```{r}
konfound(m1, wt, index = "IT")
```

## mkonfound for meta-analyses including sensitivity analysis

`mkonfound()` supports sensitivity that can be compared or synthesized across multiple analyses. We can use an existing (and built-in) dataset, such as `mkonfound_ex`.
Expand Down
71 changes: 69 additions & 2 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -40,8 +40,11 @@ devtools::install_github("konfound-project/konfound")
`pkonfound()`, for published studies, calculates (1) how much bias there
must be in an estimate to invalidate/sustain an inference, and
interprets in terms of how much data would need to be replaced to
nullify an inference; (2) the impact of an omitted variable necessary to
invalidate/sustain an inference for a regression coefficient:
nullify an inference (Robustness of an Inference to Replacement, RIR);
(2) the impact of an omitted variable necessary to invalidate/sustain an
inference for a regression coefficient (Impact Threshold of a
Confounding Variable, ITCV). RIR is reported by default. ITCV can be
generated by specifying `index = "IT"`.

``` r
library(konfound)
Expand Down Expand Up @@ -76,6 +79,39 @@ pkonfound(est_eff = 2,
#> For other forms of output, run
#> ?pkonfound and inspect the to_return argument
#> For models fit in R, consider use of konfound().
pkonfound(est_eff = 2,
std_err = .4,
n_obs = 100,
n_covariates = 3,
index = "IT")
#> Impact Threshold for a Confounding Variable (ITCV):
#>
#> The minimum impact of an omitted variable to invalidate an inference for
#> a null hypothesis of an effect of nu (0) is based on a correlation of 0.566
#> with the outcome and 0.566 with the predictor of interest (conditioning
#> on all observed covariates in the model; signs are interchangeable). This is
#> based on a threshold effect of 0.2 for statistical significance (alpha = 0.05).
#>
#> Correspondingly the impact of an omitted variable (as defined in Frank 2000) must be
#> 0.566 X 0.566 = 0.321 to invalidate an inference for a null hypothesis of an effect of nu (0).
#>
#> For calculation of unconditional ITCV using pkonfound(), additionally include
#> the R2, sdx, and sdy as input, and request raw output.
#>
#> See Frank (2000) for a description of the method.
#>
#> Citation:
#> Frank, K. (2000). Impact of a confounding variable on the inference of a
#> regression coefficient. Sociological Methods and Research, 29 (2), 147-194
#>
#> Accuracy of results increases with the number of decimals reported.
#>
#> The ITCV analysis was originally derived for OLS standard errors. If the
#> standard errors reported in the table were not based on OLS, some caution
#> should be used to interpret the ITCV.
#> For other forms of output, run
#> ?pkonfound and inspect the to_return argument
#> For models fit in R, consider use of konfound().
```

## konfound() for models fit in R
Expand Down Expand Up @@ -141,6 +177,37 @@ konfound(m1, wt)
#> NULL
```

Similar to `pkonfound`, ITCV can be generated by specifying
`index = "IT"`.

``` r
konfound(m1, wt, index = "IT")
#> Impact Threshold for a Confounding Variable (ITCV):
#>
#> The minimum (in absolute value) impact of an omitted variable to invalidate
#> an inference for a null hypothesis of an effect of nu (0) is based on
#> a correlation of -0.425 with the outcome and 0.425 with the predictor of
#> interest (conditioning on all observed covariates in the model; signs are
#> interchangeable). This is based on a threshold effect of -0.355 for statistical
#> significance (alpha = 0.05).
#>
#> Correspondingly the impact of an omitted variable (as defined in Frank 2000) must be
#> -0.425 X 0.425 = -0.18 to invalidate an inference for a null hypothesis of an effect of nu (0).
#>
#> See Frank (2000) for a description of the method.
#>
#> Citation:
#> Frank, K. (2000). Impact of a confounding variable on the inference of a
#> regression coefficient. Sociological Methods and Research, 29 (2), 147-194
#>
#> Accuracy of results increases with the number of decimals reported.
#>
#> The ITCV analysis was originally derived for OLS standard errors. If the
#> standard errors reported in the table were not based on OLS, some caution
#> should be used to interpret the ITCV.
#> NULL
```

## mkonfound for meta-analyses including sensitivity analysis

`mkonfound()` supports sensitivity that can be compared or synthesized
Expand Down
1 change: 1 addition & 0 deletions man/pkonfound.Rd

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