Measuring Productivity: 2 Main Multifactor Measures

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Discussion Overview

The discussion centers around the measurement of productivity using multifactor measures, specifically examining the validity of different formulas for calculating productivity. Participants explore the implications of including intermediate inputs in these measures and the relationship between output and input in productivity calculations.

Discussion Character

  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents two main multifactor productivity measures: total output divided by the sum of labor, capital, and intermediate inputs, and value added divided by the sum of labor and capital.
  • Another participant suggests that if more intermediate inputs are required to achieve the same value, it indicates a decline in productivity, implying that such inputs should be factored into the productivity index.
  • A participant questions the logic of the teacher's suggestion to include intermediate inputs in the denominator when calculating productivity based on value added, arguing that intermediate inputs do not contribute to value added.
  • There is a discussion about the mathematical representation of productivity, with one participant asserting that if a certain amount is subtracted from both the numerator and denominator, it should be consistently applied to maintain the integrity of the ratio.
  • Another participant reiterates the formula for value added and its relationship to productivity, emphasizing the need for clarity in how inputs are accounted for in the calculations.
  • One participant proposes a transformation of the productivity formula that results in a different perspective on the relationship between output and input, suggesting that this alternative representation could yield interesting insights.

Areas of Agreement / Disagreement

Participants express differing views on the inclusion of intermediate inputs in productivity calculations, with no consensus reached on the validity of the teacher's suggested measure or the implications of adjusting the numerator and denominator in the productivity formula.

Contextual Notes

Participants highlight potential limitations in the definitions and assumptions underlying the productivity measures discussed, particularly regarding the treatment of intermediate inputs and their role in value added.

luis20
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I found on the internet that there are 2 main multifactor productivity measures:

1) total output / (labour + capital + intermediate inputs)

2) value added / (labour + capital)

, where value added = total output - intermediate inputsThis two measures make sense but my teacher said that if we want total productivity and use value added we should do:

value added / (labour + capital + intermediate inputs)

This measure makes no sense to me, since intermediate inputs do not produce value added.
What do you think?
 
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If you need more intermediate inputs to add the same value, something is worse, so you might want some index to go down.
 
mfb said:
If you need more intermediate inputs to add the same value, something is worse, so you might want some index to go down.

Yes, I would include losses of intermediate inputs in the denominator. But the amount I took from numerator shouldn't I take from denominator too? (since I know that amount is represented in both numerator and denominator)

I mean, if the original ratio is: output / input, then if I take the amount "a" from output, (and "a" is also included in input), I should take "a" from input, so it would be:

(output - a) / (input - a)

and not:

(output - a) / input

right?
 
Last edited:
value added = total output - intermediate inputs - (other variables)

You already use (output - a) / (input - a) in your formula, where a are intermediate inputs and (output-a) is "value added".
 
mfb said:
value added = total output - intermediate inputs - (other variables)

You already use (output - a) / (input - a) in your formula, where a are intermediate inputs and (output-a) is "value added".

Yes, but my teacher suggested this measure:

value added / (labour + capital + intermediate inputs)

which is:

(output - a) / inputThis is my actually question, is he wrong? ^^
 
If you use "a" as sum of all inputs, it is
(output - input) / input = output/input - 1

That is fine, and the value looks interesting.
 

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