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Introduction

This vignette demonstrates the use of mwana package’s functions to estimate the prevalence of wasting based on:

  • Weight-for-height z-score (WFHZ) and/or oedema
  • Raw MUAC values and/or oedema
  • MUAC-for-age z-score (MFAZ) and/or oedema, and
  • Combined prevalence.

The prevalence functions in mwana were carefully conceived and designed to simplify the workflow of a nutrition data analyst, especially when dealing with datasets containing imperfections that require additional layers of analysis. Let’s try to clarify this with two scenarios that I believe will remind you of the alluded complexity:

  • When analysing a multi-area dataset, users will likely need to estimate the prevalence for each area individually. Afterward, they must extract the results and collate in a summary table for sharing.

  • When working with MUAC data, when age ratio test is rated as problematic, an additional tool is required to weight the prevalence and correct for age bias, thereby the associated likely prevalence overestimation. In an unfortunate cases wherein multiple areas face this issue, the workflow must be repeated several times, making the process cumbersome, boredom, and highly error-prone.

With mwana, you no longer have to worry about this 🥳. The functions are designed to deal with that. To demonstrate their use, we will use different datasets to represent different scenarios:

  • anthro.02 : a survey data with survey weights. Learn more about this data with ?anthro.02.
  • anthro.03 : district-level SMART surveys with two districts whose WFHZ standard deviations are rated as problematic while the rest lay within range. Do ?anthro.03 for more details.
  • anthro.04 : a community-based sentinel site data. The data has different characteristics that require different analysis approaches.

Estimation of the prevalence of wasting based on WFHZ

To estimate the prevalence of wasting based on WFHZ we use the mw_estimate_prevalence_wfhz() function. The dataset to supply must have been wrangled by mw_wrangle_wfhz().

As usual, we start off by inspecting our dataset:

tail(anthro.02)
#> # A tibble: 6 × 14
#>   province strata cluster   sex   age weight height oedema  muac wtfactor   wfhz
#>   <chr>    <chr>    <int> <dbl> <dbl>  <dbl>  <dbl> <chr>  <dbl>    <dbl>  <dbl>
#> 1 Nampula  Urban      285     1  59.5   13.8   90.7 n        149     487.  0.689
#> 2 Nampula  Rural      234     1  59.5   17.2  105.  n        193    1045.  0.178
#> 3 Nampula  Rural      263     1  59.6   18.4  100   n        156     952.  2.13
#> 4 Nampula  Rural      257     1  59.7   15.9  100.  n        149     987.  0.353
#> 5 Nampula  Rural      239     1  59.8   12.5   91.5 n        135     663. -0.722
#> 6 Nampula  Rural      263     1  60.0   14.3   93.8 n        142     952.  0.463
#> # ℹ 3 more variables: flag_wfhz <dbl>, mfaz <dbl>, flag_mfaz <dbl>

We can see that the dataset contains the required variables for a WFHZ prevalence analysis, including for a weighted analysis. This dataset has already been wrangled, therefore there is no need to call the WFHZ wrangler.

Estimation of unweighted prevalence

To achieve this we do:

anthro.02 |>
  mw_estimate_prevalence_wfhz(
    wt = NULL,
    oedema = oedema
  )

This will return:

#> # A tibble: 1 × 16
#>   gam_n  gam_p gam_p_low gam_p_upp gam_p_deff sam_n   sam_p sam_p_low sam_p_upp
#>   <dbl>  <dbl>     <dbl>     <dbl>      <dbl> <dbl>   <dbl>     <dbl>     <dbl>
#> 1    86 0.0408    0.0322    0.0494        Inf    14 0.00664   0.00273    0.0106
#> # ℹ 7 more variables: sam_p_deff <dbl>, mam_n <dbl>, mam_p <dbl>,
#> #   mam_p_low <dbl>, mam_p_upp <dbl>, mam_p_deff <dbl>, wt_pop <dbl>

If for some reason the variable oedema is not available in the dataset, or it’s there but not plausible, we can exclude it from the analysis by setting the argument oedema to NULL:

anthro.02 |>
  mw_estimate_prevalence_wfhz(
    wt = NULL,
    oedema = NULL # Setting oedema to NULL
  )

And we get:

#> # A tibble: 1 × 16
#>   gam_n  gam_p gam_p_low gam_p_upp gam_p_deff sam_n sam_p sam_p_low sam_p_upp
#>   <dbl>  <dbl>     <dbl>     <dbl>      <dbl> <dbl> <dbl>     <dbl>     <dbl>
#> 1    72 0.0342    0.0263    0.0420        Inf     0     0         0         0
#> # ℹ 7 more variables: sam_p_deff <dbl>, mam_n <dbl>, mam_p <dbl>,
#> #   mam_p_low <dbl>, mam_p_upp <dbl>, mam_p_deff <dbl>, wt_pop <dbl>

If we inspect the gam_n and gam_p columns of this output table and the previous, we notice differences in the numbers. This occurs because oedema cases were excluded in the second implementation. It is noteworthy that you will observe a change if there are positive cases of oedema in the dataset; otherwise, setting oedema = NULL will have no effect whatsoever.

The above output summary does not show results by province. We can control this by supplying the variable or set of variables containing the locations where the data was collected, or any other category (such as teams, sex, etc.) after oedema. In our case, we will use the column province:

anthro.02 |>
  mw_estimate_prevalence_wfhz(
    wt = NULL,
    oedema = oedema,
    province # province is the variable name holding data on where the survey was conducted.
  )

And voila :

#> # A tibble: 2 × 17
#>   province gam_n  gam_p gam_p_low gam_p_upp gam_p_deff sam_n   sam_p sam_p_low
#>   <chr>    <dbl>  <dbl>     <dbl>     <dbl>      <dbl> <dbl>   <dbl>     <dbl>
#> 1 Nampula     53 0.0546    0.0397    0.0695        Inf    10 0.0103  0.00282
#> 2 Zambezia    33 0.0290    0.0195    0.0384        Inf     4 0.00351 0.0000639
#> # ℹ 8 more variables: sam_p_upp <dbl>, sam_p_deff <dbl>, mam_n <dbl>,
#> #   mam_p <dbl>, mam_p_low <dbl>, mam_p_upp <dbl>, mam_p_deff <dbl>,
#> #   wt_pop <dbl>

A table with two rows is returned with each province’s statistics.

Estimation of weighted prevalence

To get the weighted prevalence, we use the wt argument. We pass to it the column name containing the final survey weights. In our case, the column name is wtfactor:

anthro.02 |>
  mw_estimate_prevalence_wfhz(
    wt = wtfactor, # Passing the wtfactor to wt
    oedema = oedema,
    province
  )

And you get:

#> # A tibble: 2 × 17
#>   province gam_n  gam_p gam_p_low gam_p_upp gam_p_deff sam_n   sam_p sam_p_low
#>   <chr>    <dbl>  <dbl>     <dbl>     <dbl>      <dbl> <dbl>   <dbl>     <dbl>
#> 1 Nampula     53 0.0595    0.0410    0.0779       1.52    10 0.0129   0.00272
#> 2 Zambezia    33 0.0261    0.0161    0.0361       1.16     4 0.00236 -0.000255
#> # ℹ 8 more variables: sam_p_upp <dbl>, sam_p_deff <dbl>, mam_n <dbl>,
#> #   mam_p <dbl>, mam_p_low <dbl>, mam_p_upp <dbl>, mam_p_deff <dbl>,
#> #   wt_pop <dbl>

The work under the hood of mw_estimate_prevalence_wfhz

Under the hood, before it begins with the prevalence estimation, the function first checks the quality of the WFHZ standard deviation. If it is not problematic, it proceeds with a complex sample-based analysis; otherwise, prevalence is estimated applying the PROBIT method. This is as you see in the body of the plausibility report generated by ENA. The anthro.02 dataset has no such issues, so you don’t see mw_estimate_prevalence_wfhz in action in this regard. To see that, let’s use the anthro.03 dataset.

anthro.03 contains problematic standard deviation in Metuge and Maravia districts; the rest lay within range.

Let’s inspect our dataset:

#> # A tibble: 6 × 9
#>   district cluster  team sex     age weight height oedema  muac
#>   <chr>      <int> <int> <chr> <dbl>  <dbl>  <dbl> <chr>  <int>
#> 1 Metuge         2     2 m      9.99   10.1   69.3 n        172
#> 2 Metuge         2     2 f     43.6    10.9   91.5 n        130
#> 3 Metuge         2     2 f     32.8    11.4   91.4 n        153
#> 4 Metuge         2     2 f      7.62    8.3   69.5 n        133
#> 5 Metuge         2     2 m     28.4    10.7   82.3 n        143
#> 6 Metuge         2     2 f     12.3     6.6   69.4 n        121

Now let’s apply the prevalence function. This data needs to be wrangled before passing it to the prevalence function:

anthro.03 |>
  mw_wrangle_wfhz(
    sex = sex,
    .recode_sex = TRUE,
    height = height,
    weight = weight
  ) |>
  mw_estimate_prevalence_wfhz(
    wt = NULL,
    oedema = oedema,
    district
  )

The returned output will be:

#> ================================================================================
#> # A tibble: 4 × 17
#>   district   gam_n  gam_p gam_p_low gam_p_upp gam_p_deff sam_n   sam_p sam_p_low
#>   <chr>      <dbl>  <dbl>     <dbl>     <dbl>      <dbl> <dbl>   <dbl>     <dbl>
#> 1 Cahora-Ba…    22 0.0738    0.0348    0.113         Inf     1 0.00336  -0.00348
#> 2 Chiuta        10 0.0444    0.0129    0.0759        Inf     1 0.00444  -0.00466
#> 3 Maravia       NA 0.0450   NA        NA              NA    NA 0.00351  NA
#> 4 Metuge        NA 0.0251   NA        NA              NA    NA 0.00155  NA
#> # ℹ 8 more variables: sam_p_upp <dbl>, sam_p_deff <dbl>, mam_n <dbl>,
#> #   mam_p <dbl>, mam_p_low <dbl>, mam_p_upp <dbl>, mam_p_deff <dbl>,
#> #   wt_pop <dbl>

In this output, while in Cahora-Bassa and Chiúta districts all columns are populated with numbers, in Metuge and Maravia, only the gam_p, sam_p and mam_p columns are filled with numbers, and everything else with NA. These are the districts wherein the PROBIT method was applied.

Estimation of the prevalence of wasting based on MFAZ

The prevalence of wasting based on MFAZ can be estimated using the mw_estimate_prevalence_mfaz() function. This function is implemented in the same way as demonstrated in WFHZ, with the exception that its data wrangling is based on MUAC. This was demonstrated in the plausibility checks.

Estimation of the prevalence of wasting based on raw MUAC values

This job is assigned to three different functions: mw_estimate_prevalence_muac(), mw_estimate_prevalence_screening() and mw_estimate_prevalence_screening2(). The former is designed for survey data, and the latter two for data derived from screenings. Nonetheless, under the hood, they all follow the following logic:

  • Before the prevalence estimation begins, they first evaluate the acceptability of the standard deviation and of the age ratio tests results. Concerning the standard deviation, the former two functions evaluation’s are based on MFAZ, whilst the latter function is based on the raw MUAC values. As for the age ratio test, the former two functions use age in months, and the latter function - mw_estimate_prevalence_screening2() - is for when age is provided in categorical form (“6-23” and “24-59” months).

Important

Although the acceptability is evaluated on the basis of MFAZ where applicable, the actual prevalence is estimated on the basis of the raw MUAC values. MFAZ is also used to detect outliers and flag them to be excluded from the prevalence analysis.

The standard deviation and the age ratio test results are used to control the prevalence analysis flow in this way:

  • If the standard deviation and the age ratio test are both not problematic, a normal analysis is performed. This means that, for data derived from survey, standard complex sample-based prevalence is estimated.
  • If the standard deviation is not problematic but the age ratio test is problematic, the SMART MUAC tool age-weighting approach is applied in either function.

When working with a multiple-area dataset, this logic is applied area wise.

How does it work on a multi-area dataset

Fundamentally, the function performs the standard deviation and age ratio tests, evaluates their acceptability, and returns a summarised table by area. It then iterates over that summary table row-by-row checking the above conditionals. Based on the conditionals of each row (area), the function accesses the original dataframe, pulls out the area-specific dataset, then it estimates the prevalence accordingly, and binds the results into a summary dataset.

Estimation for survey data

To demonstrate this we will use the anthro.04 dataset.

As usual, let’s first inspect it:

#> # A tibble: 6 × 8
#>   province   cluster   sex   age  muac oedema   mfaz flag_mfaz
#>   <chr>        <int> <dbl> <int> <dbl> <chr>   <dbl>     <dbl>
#> 1 Province 3     743     2    21   130 n      -1.50          0
#> 2 Province 3     743     2     9   126 n      -1.33          0
#> 3 Province 3     743     2    12   128 n      -1.27          0
#> 4 Province 3     743     2    34   145 n      -0.839         0
#> 5 Province 3     743     2    11   130 n      -1.04          0
#> 6 Province 3     743     2    33   140 n      -1.23          0

You see that this data has already been wrangled, so we will go straight to the prevalence estimation.

Important

As in ENA Software, make sure you run the plausibility check before you call the prevalence function. This is good to know about the acceptability of your data. If we do that with anthro.04 we will see which province has issues, hence what we should expect to see in below demonstrations is based on the conditionals stated above.

anthro.04 |>
  mw_estimate_prevalence_muac(
    wt = NULL,
    oedema = oedema,
    province
  )

This will return:

#> # A tibble: 3 × 17
#>   province   gam_n  gam_p gam_p_low gam_p_upp gam_p_deff sam_n  sam_p sam_p_low
#>   <chr>      <dbl>  <dbl>     <dbl>     <dbl>      <dbl> <dbl>  <dbl>     <dbl>
#> 1 Province 1   133 0.104     0.0778     0.130        Inf    17 0.0133   0.00682
#> 2 Province 2    NA 0.0858   NA         NA             NA    NA 0.0148  NA
#> 3 Province 3    87 0.145     0.0930     0.196        Inf    25 0.0416   0.0176
#> # ℹ 8 more variables: sam_p_upp <dbl>, sam_p_deff <dbl>, mam_n <dbl>,
#> #   mam_p <dbl>, mam_p_low <dbl>, mam_p_upp <dbl>, mam_p_deff <dbl>,
#> #   wt_pop <dbl>

We see that in Province 1, all columns are filled with numbers; in Province 2, some columns are filled with numbers, while other columns are filled with NAs: this is where the age-weighting approach was applied.

Alternatively, we can choose to apply the function that estimates age-weighted prevalence inside mw_estimate_prevalence_muac() directly onto our dataset. This can be done by calling the mw_estimate_age_weighted_prev_muac() function. It is noteworthy that although possible, it is recommend to use the main function. This is simply due the fact that if we decide to use the function independently, then we must, before calling it, check the acceptability of the standard deviation of MFAZ and of the age ratio test, and then evaluate if the conditions that fits the use mw_estimate_age_weighted_prev_muac() are there. We would have to do that ourselves. This can be boredom along the workflow, thereby increase the risk of picking a wrong analysis workflow.

anthro.04 |>
  subset(province == "Province 2") |>
  mw_estimate_age_weighted_prev_muac(
    oedema = oedema
  )

This returns the prevalence estimates split into age categories and the overall age-weighted estimate. The latter is given in the last three columns: sam, mam, and gam.

#> # A tibble: 1 × 11
#>   oedema_u2  u2sam u2mam u2gam oedema_o2   o2sam  o2mam  o2gam    sam    mam
#>       <dbl>  <dbl> <dbl> <dbl>     <dbl>   <dbl>  <dbl>  <dbl>  <dbl>  <dbl>
#> 1         0 0.0369 0.165 0.202         0 0.00368 0.0239 0.0276 0.0148 0.0710
#> # ℹ 1 more variable: gam <dbl>

Note

The prevalences that embed the mw_estimate_age_weighted_prev_muac() function return that last three columns.

Estimation of weighted prevalence

For this we go back anthro.02 dataset.

We approach this task as follows:

anthro.02 |>
  mw_wrangle_age(
    age = age,
    .decimals = 2
  ) |>
  mw_wrangle_muac(
    sex = sex,
    .recode_sex = FALSE,
    muac = muac,
    .recode_muac = TRUE,
    .to = "cm",
    age = age
  ) |>
  mutate(
    muac = recode_muac(muac, .to = "mm")
  ) |>
  mw_estimate_prevalence_muac(
    wt = wtfactor,
    oedema = oedema,
    province
  )

This will return:

#> ================================================================================
#> # A tibble: 2 × 17
#>   province gam_n  gam_p gam_p_low gam_p_upp gam_p_deff sam_n  sam_p sam_p_low
#>   <chr>    <dbl>  <dbl>     <dbl>     <dbl>      <dbl> <dbl>  <dbl>     <dbl>
#> 1 Nampula     61 0.0571    0.0369    0.0773       2.00    19 0.0196   0.00706
#> 2 Zambezia    57 0.0552    0.0380    0.0725       1.67    10 0.0133   0.00412
#> # ℹ 8 more variables: sam_p_upp <dbl>, sam_p_deff <dbl>, mam_n <dbl>,
#> #   mam_p <dbl>, mam_p_low <dbl>, mam_p_upp <dbl>, mam_p_deff <dbl>,
#> #   wt_pop <dbl>

Warning

You may have noticed that in the above code block, we called the recode_muac() function inside mutate(). This is because after you use mw_wrangle_muac(), it puts the MUAC variable in centimetres. The mw_estimate_prevalence_muac() function was defined to accept MUAC in millimetres; therefore, it must be converted to millimetres.

Estimation for non-survey data

The anthro.04 dataset will be used to illustrate the application of these functions.

anthro.04 |>
  mw_estimate_prevalence_screening(
    muac = muac,
    oedema = oedema,
    province
  )

The returned output is:

#> # A tibble: 3 × 8
#>   province   gam_n  gam_p sam_n  sam_p mam_n  mam_p     N
#>   <chr>      <dbl>  <dbl> <dbl>  <dbl> <dbl>  <dbl> <int>
#> 1 Province 1   133 0.104     17 0.0133   116 0.0908  1277
#> 2 Province 2    NA 0.0858    NA 0.0148    NA 0.0710    NA
#> 3 Province 3    87 0.145     25 0.0416    62 0.103    601

The mw_estimate_prevalence_screening2() function is applied as demonstrated below. In this example, the input data contains age in months rather than in categories. To meet the function’s requirements, we convert the age variable into two categories and store the result in a new age_cat variable.

anthro.04 |>
  mutate(
    age_cat = ifelse(age < 24, "6-23", "24-59") 
  ) |>
  mw_wrangle_muac(
    sex = sex,
    .recode_sex = FALSE,
    muac = muac
  ) |>
  mw_estimate_prevalence_screening2(
    age_cat = age_cat,
    muac = muac,
    oedema = oedema,
    province
  )

This will return:

anthro.04 |>
  mutate(
    age_cat = ifelse(age < 24, "6-23", "24-59")
  ) |>
  mw_wrangle_muac(
    sex = sex,
    .recode_sex = FALSE,
    muac = muac
  ) |>
  mw_estimate_prevalence_screening2(
    age_cat = age_cat,
    muac = muac,
    oedema = oedema,
    province
  )

Estimation of the combined prevalence of wasting

The estimation of the combined prevalence of wasting is a task attributed to the mw_estimate_prevalence_combined() function. The case-definition is based on the WFHZ, the raw MUAC values and oedema. From the workflow standpoint, it combines the workflow demonstrated in Section 2 and in Section 4.

To demonstrate it’s implementation we will use the anthro.01 dataset.

Let’s inspect the data:

#> # A tibble: 6 × 11
#>   area      dos        cluster  team sex   dob      age weight height oedema
#>   <chr>     <date>       <int> <int> <chr> <date> <int>  <dbl>  <dbl> <chr>
#> 1 District… 2023-12-04       1     3 m     NA        59   15.6  109.  n
#> 2 District… 2023-12-04       1     3 m     NA         8    7.5   68.6 n
#> 3 District… 2023-12-04       1     3 m     NA        19    9.7   79.5 n
#> 4 District… 2023-12-04       1     3 f     NA        49   14.3  100.  n
#> 5 District… 2023-12-04       1     3 f     NA        32   12.4   92.1 n
#> 6 District… 2023-12-04       1     3 f     NA        17    9.3   77.8 n
#> # ℹ 1 more variable: muac <int>

Data wrangling

It combines the data wrangling workflow of WFHZ and MUAC:

## Apply the wrangling workflow ----
anthro.01 |>
  mw_wrangle_age(
    dos = dos,
    dob = dob,
    age = age,
    .decimals = 2
  ) |>
  mw_wrangle_muac(
    sex = sex,
    .recode_sex = TRUE,
    muac = muac,
    .recode_muac = TRUE,
    .to = "cm",
    age = age
  ) |>
  mutate(
    muac = recode_muac(muac, .to = "mm")
  ) |>
  mw_wrangle_wfhz(
    sex = sex,
    weight = weight,
    height = height,
    .recode_sex = FALSE
  )

This is to get the wfhz and flag_wfhz the mfaz and flag_mfaz added to the dataset. In the output below, we have just selected these columns:

#> ================================================================================
#> ================================================================================
#> # A tibble: 1,191 × 5
#>    area         wfhz flag_wfhz   mfaz flag_mfaz
#>    <chr>       <dbl>     <dbl>  <dbl>     <dbl>
#>  1 District E -1.83          0 -1.45          0
#>  2 District E -0.956         0 -1.67          0
#>  3 District E -0.796         0 -0.617         0
#>  4 District E -0.74          0 -1.02          0
#>  5 District E -0.679         0 -0.93          0
#>  6 District E -0.432         0 -1.10          0
#>  7 District E -0.078         0 -0.255         0
#>  8 District E -0.212         0 -0.677         0
#>  9 District E -1.07          0 -2.18          0
#> 10 District E -0.543         0 -0.403         0
#> # ℹ 1,181 more rows

Under the hood, the function applies the same analysis approach as in mw_estimate_prevalence_wfhz and in mw_estimate_prevalence_muac(). It checks the acceptability of the standard deviation of WFHZ and MFAZ and of the age ratio test. The following conditionals are checked and applied:

  • If the standard deviation of WFHZ and of MFAZ, and the age ratio test are all concurrently not problematic, the standard complex sample-based estimation is applied.
  • If any of the above is rated problematic, the prevalence is not computed and NAs are thrown.

In this function, a concept of “combined flags” is used.

What is combined flag?

Combined flags consists in defining as flag any observation that is flagged in either flag_wfhz or flag_mfaz vectors. A new column cflags for combined flags is created and added to the dataset. This ensures that all flagged observations from both WFHZ and MFAZ data are excluded from the prevalence analysis.

A glimpse of case-definition of combined flag
flag_wfhz flag_mfaz cflags
1 0 1
0 1 1
0 0 0

Now that we understand what happens under the hood, we can now proceed to implement it:

## Apply the workflow ----
anthro.01 |>
  mw_wrangle_age(
    dos = dos,
    dob = dob,
    age = age,
    .decimals = 2
  ) |>
  mw_wrangle_muac(
    sex = sex,
    .recode_sex = TRUE,
    muac = muac,
    .recode_muac = TRUE,
    .to = "cm",
    age = age
  ) |>
  mutate(
    muac = recode_muac(muac, .to = "mm")
  ) |>
  mw_wrangle_wfhz(
    sex = sex,
    weight = weight,
    height = height,
    .recode_sex = FALSE
  ) |>
  mw_estimate_prevalence_combined(
    wt = NULL,
    oedema = oedema,
    area
  )

We get this:

#> ================================================================================
#> ================================================================================
#> # A tibble: 2 × 17
#>   area   cgam_p   csam_p  cmam_p cgam_n cgam_p_low cgam_p_upp cgam_p_deff csam_n
#>   <chr>   <dbl>    <dbl>   <dbl>  <dbl>      <dbl>      <dbl>       <dbl>  <dbl>
#> 1 Dist… NA      NA       NA          NA    NA         NA               NA     NA
#> 2 Dist…  0.0703  0.00747  0.0643     47     0.0447     0.0958         Inf      5
#> # ℹ 8 more variables: csam_p_low <dbl>, csam_p_upp <dbl>, csam_p_deff <dbl>,
#> #   cmam_n <dbl>, cmam_p_low <dbl>, cmam_p_upp <dbl>, cmam_p_deff <dbl>,
#> #   wt_pop <dbl>

In district E NAs were returned because there were issues with the data. I leave it to you to figure out what was/were the issue/issues.

Tip

Consider running the plausibility checkers.