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This is an external copy of Taimaka's CEA, diverging from the original as of April 1st, 2024.
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This document is based on GW's modeling of ALIMA's combined protocol CMAM program in Niger and Nigeria. The original model is available here, and our internal working copy is here.
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Where possible, I have taken inputs from GW's model and applied them here. I chose to do so by copying/pasting numbers, rather than formulas, in order to avoid unpredictable cascading changes we do not understand and get a better feel for the model ourselves.
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GW only models 6-59 months patients. To match them, I have essentially ignored <6 months patients in our program (excluding them from age %s, etc.). This is on the logic that we could stop treating them if we later discovered they were dragging down CE (though my expectation is that they would probably improve CE).
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General InputsUsed on another sheet?Notes
Unfortunately inputs section is currently non-exhaustive. There are model inputs that are not listed here (e.g., program data on other sheets).
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Key
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Came from GW CEAOverall Cost Effectiveness
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Came from Taimaka program data20.2
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Came from Taimaka research
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Calculation
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In multiples of GiveDirectly
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Age at admission breakdown
I'm excluding U6 months cases b/c GW does. For simplicity, just excluding them from modeling for now.
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6-11 months36.49%
Mortality + treatment sheet
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12-23 months47.66%
Mortality + treatment sheet
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24-35 months12.83%
Mortality + treatment sheet
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36-47 months2.04%
Mortality + treatment sheet
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48-59 months0.98%
Mortality + treatment sheet
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Moral Weights
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Value of saving a life - post-neonatal (1 - 11 months)101
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Value of saving a life - 12-59 months127
GW calls this category 1 to 4 years, but then lumps in kids up to 59 months in it. I guess they count first year of life as "0 years" and so 4 is really 5?
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Avg. value of saving a life for a child receiving treatment117.5GW calculation.
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Units of value treated from development effects per treatment-year from SMC0.08
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Development effects of malnutrition treatment as a percentage of development effects for SMC171%
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Units of value from development effects of malnutrition treatment0.14GW calculation.
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Costs
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Cost per child treated, excluding overhead costs$66.37
Based on our 2024 treatment budget for 4,500 kids, 70-30 SAM/MAM split, exchange rate of N1500.
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% of overhead costs to include in CEA to simulate scale45%
Overhead costs as a percentage of total spending should decrease as caseload increases. Thus it is unrealistic to include all of our overhead costs when modeling the program at low scale, as we intend for it to grow, and we typically want this model to provide a sense of our cost-effectiveness at a reasonable scale. For context, this model estimates a 9k patient caseload per year on average. Theorize that modeled overhead costs (which are very rough) could handle a 20k patient program.
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Subjective Inputs
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Which ceiling analysis values should be used?Taimaka
Incorporating our data into the ceiling analysis reduces the downward adjustment from the analysis relative to the value used by GW in their analysis of ALIMA. But our coverage/prevalence data, which factors into the ceiling analysis, is somewhat crude.
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Should all of our overhead be included from the get go, or should it be discounted for our scale?Discounted
See costs section above - essentially, do you want to know our cost-effectiveness right now or what it will be in a few years with reasonable growth?
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Should treatment effects be estimated according to Taimaka program data, or GiveWell's estimates?Taimaka
Our WHZ improvements are substantially higher than what GW models for, but our method of turning those improvements into risk ratio estimates is also somewhat crude.
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Should government treatment quality be estimated based on Taimaka's knowledge of Gombe, or using GiveWell estimates?
Taimaka
Based on Taimaka's knowledge, GiveWell overestimates quality of government programs, at least when it comes to Gombe.
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Mortality Reductions
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Without treatment
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Annual all-cause mortality rate, children 6-59 months, untreated MAM, initial estimate10.22%
See calculations in 'Mortality + Treatment (Scratch)' sheet. Currently have some reservations about the quality of our coverage + prevalence data.
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Annual all-cause mortality rate, children 6-59 months, untreated SAM, initial estimate26.76%
See calculations in 'Mortality + Treatment (Scratch)' sheet. Currently have some reservations about the quality of our coverage + prevalence data.
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Plausibility adjustment from ceiling analysis43.20%
See calculations from 'Mortality Ceiling Analysis (Scratch)' sheet. I then add in the same 90% discount for Nigeria that GW does in their sheet. I am unsure of this is warranted in our case, need to finish effect size check.
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Annual all-cause mortality rate, children 6-59 months, untreated MAM,adjusted4.41%
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Annual all-cause mortality rate, children 6-59 months, untreated SAM, adjusted11.56%
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Mortality risk reduction from government malnutrition treatment
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Relative risk of mortality with MAM treatment0.60
From Roodman's constructed risk ratios, see table 10 of his paper.
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Relative risk of mortality with SAM treatment0.36
From Roodman's constructed risk ratios, see table 10 of his paper.
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Percentage point reudction in annual mortality among all treated children with MAM, initial estimate1.77%
Calculation from GW.
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Percentage point reudction in annual mortality among all treated children with SAM, initial estimate7.40%
Calculation from GW.
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Adjustment for Gombe state government treatment quality, SAM0.40GW simulates lower treatment quality of government programs by estimating an average WHZ gain of 1.5, based on a set of studies of treatment programs and then a downward adjustment for expected lower government recovery rates. Both of these steps can be found in this spreadsheet. Their estimates of government program quality are too optimistic, at least when it comes to Gombe. I apply an additional adjustment to correct.
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Adjustment for Gombe state government treatment quality, MAM0.47
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Percentage point reudction in annual mortality among all treated children with MAM, adjusted0.83%
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Percentage point reudction in annual mortality among all treated children with SAM, adjusted2.96%
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Mortality risk reduction from Taimaka malnutrition treatment
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Relative risk of mortality with MAM treatment0.61
See 'Mortality + Treatment (Scratch)' sheet.
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Relative risk of mortality with SAM treatment0.17
See 'Mortality + Treatment (Scratch)' sheet.
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Percentage point reduction in annual mortality among all treated children with MAM1.74%
I don't make an adjustment here for treatment quality b/c the avg. recovery rate found in GW's estimation spreadsheet is roughly comparable to us. Actually we're way better for MAM, but for simplicity I don't make an adjustment (seems like it would end up being fairly minor in the scheme of things, though our MAM recovery rate is like 10 pp higher).
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Percentage point reduction in annual mortality among all treated children with SAM9.64%
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Number of cases receiving treatment b/c of Taimaka's program
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MAM cases who would have received no treatment2578
See 'Mortality and Treatment (scratch)' sheet.
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SAM cases who would have received no treatment5689
See 'Mortality and Treatment (scratch)' sheet.
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MAM cases who would have received gov treatment122
See 'Mortality and Treatment (scratch)' sheet.
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SAM cases who would have received gov treatment611
See 'Mortality and Treatment (scratch)' sheet.
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Number of children receiving treatment b/c of Taimaka's program
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MAM children who would have received no treatment2449
See 'Mortality and Treatment (scratch)' sheet.
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SAM children who would have received no treatment5404
See 'Mortality and Treatment (scratch)' sheet.
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MAM children who would have received gov treatment116
See 'Mortality and Treatment (scratch)' sheet.
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SAM children who would have received gov treatment581
See 'Mortality and Treatment (scratch)' sheet.
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Deaths averted
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Annual number of MAM deaths averted44
Calculation from GW.
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Annual number of SAM deaths averted559
Calculation from GW.
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IV/EV adjustment - socioeconomic confounding80%
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IV/EV adjustment - treatment in historical cohorts110%
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IV/EV adjustment - rough categories110%
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IV/EV adjustment - lower SAM recovery rates93%
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Total - Internal and external validity adjustments90.02%
Calculation from GW.
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Annual number of MAM deaths averted, adjusted39
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Annual number of SAM deaths averted, adjusted504
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Units of value
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Annual units of value from mortality reduction63,803.19
For reference, quick + dirty model has 37,045 units of value (when adjusted for change in # of patients from modeling caseload over 3 years rather than 1 year).
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Development Effects
Notably, effects of deworming are not included at all, which seems wrong.
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Adjustment for children changing from government treatment to Taimaka treatment69%
GW calculation. Much less of a downward adjustment than in the GW CEA b/c gov treatment in our estimation is worse.
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Units of value per child going from no treatment to Taimaka treatment, developmental effects0.14
See moral weights inputs.
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Units of value per child going from gov treatment to Taimaka treatment, developmental effects0.09
Calculation from GW.
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Total units of value from development effects1140.35
Calculation from GW.
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Internal and external validity adjustment38.89%
Calculation from GW. Less of an adjustment b/c our ceiling analysis is different b/c includes our data.
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Adjusted total units of value from development effects443.49
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Vaccination BenefitsGW models two kinds of vaccination benefits - (1) kids getting vaccinated who otherwise would not have, and (2) kids getting vaccinated earlier than they otherwise would have (but who would have been vaccinated anyway). Our data on our impact on vaccinations unfortunately isn't great, so I don't feel comfortable modeling both of these. Instead, I model just pathway (1), b/c I think it is very reasonable to extrapolate some benefit from our vaccination work in this area from anecdotal evidence + evidence from other NGOs (b/c we do the same things they do).
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Benefits in children who would not have been vaccinated in the absence of Taimaka's program