ds_content <- rio::import("assets/data/ds_content.rds", trust=T)Total complete observations: \(n = 11\).
The Content Validity Ratio (CVR) was developed by Lawshe (1975) to provide a quantitative measure of content validity. The CVR provides an index that represents the proportion of agreement among experts on the essentialness of an item.
Calculation: To calculate CVR, each item is rated by a panel of experts who are knowledgeable about the construct being measured. The experts rate the items on a scale such as “essential,” “useful, but not essential,” or “not necessary.”
Formula: \[CVR = \frac{n_e - \frac{N}{2}}{\frac{N}{2}}\]
Where:
Minimum Values of Content Validity Ratio. Reprinted from Lawshe (1975).
According to Lawshe (1975), for an item to be retained, the \(CVR\) must be significant at a certain level. The level of significance depends on the number of panelists. For example, with \(5\) panelists, the \(CVR\) must be \(0.99\) or higher to be significant at the \(0.05\) level. With \(10\) panelists, the \(CVR\) must be \(0.62\) or higher, and with \(20\) panelists, the \(CVR\) must be \(0.42\) or higher.
A more recent proposal (Ayre & Scally, 2014).
| cvr1 | cvr2 | cvr3 | cvr4 | cvr5 | cvr6 | cvr7 | cvr8 | cvr9 |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 2 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| Item | \(CVR\) | Lawshe’s (1975) minimum CVR value at \(p=0.05\) achieved? |
|---|---|---|
| Item1 | 0.82 | Yes |
| Item2 | 0.45 | No |
| Item3 | 0.64 | Yes |
| Item4 | -0.27 | No |
| Item5 | 0.82 | Yes |
| Item6 | 1.00 | Yes |
| Item7 | 1.00 | Yes |
| Item8 | 0.64 | Yes |
| Item9 | -0.27 | No |
The Content Validity Index (CVI) quantifies content validity. It’s calculated based on expert ratings of the relevance of individual items and the overall scale.
Item-level CVI (I-CVI)
This is calculated for each individual item.
I-CVI Formula: \[I-CVI = \frac{n_{r}}{N}\]
Where: - \(n_{r}\) is the number of experts who rated the item as quite or highly relevant; and,
- \(N\) is the total number of experts.
This is calculated for the entire scale or instrument.
S-CVI Formulas
There are two types of S-CVI: Average CVI (S-CVI/Ave) and Universal Agreement CVI (S-CVI/UA).
\[S-CVI/Ave = \frac{\sum_{i=1}^{k} I-CVI_i}{k}\]
\[S-CVI/UA = \frac{n_{I-CVI=1}}{k}\]
Where: - \(I-CVI_i\) is the I-CVI for item \(i\),
- \(k\) is the number of items, and,
- \(n_{I-CVI=1}\) is the number of items with an I-CVI of \(1\).
Lynn (1986) suggests that an I-CVI of \(0.78\) or higher is acceptable for at least nine experts. While Yusoff (2019) summarizes a bit more detailed guidelines from various authors.
| Number of experts | Acceptable \(CVI\) values | Source of recommendation |
|---|---|---|
| \(2\) experts | \(CVI \geq.80\) | Davis (1992) |
| \(3-5\) experts | \(CVI = 1.00\) | (Polit et al., 2007; Polit & Beck, 2006) |
| \(\geq 6\) experts | \(CVI \geq .83\) | (Polit et al., 2007; Polit & Beck, 2006) |
| \(6-8\) experts | \(CVI \geq .83\) | Lynn (1986) |
| \(\geq9\) experts | \(CVI \geq .78\) | Lynn (1986) |
| cvi1 | cvi2 | cvi3 | cvi4 | cvi5 | cvi6 | cvi7 | cvi8 | cvi9 |
|---|---|---|---|---|---|---|---|---|
| 4 | 4 | 4 | 2 | 4 | 4 | 4 | 3 | 2 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 3 | 4 | 3 | 4 | 4 | 4 | 4 | 2 |
| 4 | 4 | 4 | 3 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 3 | 3 | 3 | 3 | 4 | 4 | 3 | 3 |
cvi.R
i_cvi <- function(x) {
n <- length(x)
n_relevant <- sum(x >= 3) # Count ratings 3 and 4 as relevant
return(n_relevant / n)
}
i_cvi_values <- apply(ds_content[,cvi_items], 2, i_cvi)
# Compute S-CVI
s_cvi_ave <- mean(i_cvi_values, na.rm = TRUE)
s_cvi_ua <- sum(i_cvi_values == 1, na.rm = TRUE) / length(i_cvi_values)| Item | \(CVI\) | Lynn’s (1986) minimum CVI value achieved? |
|---|---|---|
| Item1 | 0.91 | Yes |
| Item2 | 0.82 | Yes |
| Item3 | 0.91 | Yes |
| Item4 | 0.55 | No |
| Item5 | 0.91 | Yes |
| Item6 | 0.91 | Yes |
| Item7 | 0.91 | Yes |
| Item8 | 0.82 | Yes |
| Item9 | 0.64 | No |
S-CVI/Ave: 0.82
S-CVI/UA: 0