Estimation Of Equivalence Scales Research Articles

People do not adapt. New analyses of the dynamic effects of own and reference income on life satisfaction

Do people adapt to changes in income? In contradiction to much of the previous literature, I find no evidence of adaptation to income in GSOEP (1984–2015) and UKHLS (1996–2017) data. Furthermore, I find that people also do not adapt to changes in reference income. Instead, reference income effects may be subject to reinforcement over time. Following the empirical approach of Vendrik (2013), I obtain these findings by estimating life satisfaction equations in which contemporaneous and lagged terms for a respondent’s own household income and their estimated reference income are simultaneously entered. Additionally, I instrument for own income and include lags of a large set of controls. What was found to be adaptation to raw household income in previous studies turns out to have been driven by reinforcement of an initially small negative effect of household size that grows large over time. Implications of this result for the estimation of equivalence scales with subjective data are discussed.

Differences across countries and time in household expenditure patterns: implications for the estimation of equivalence scales

ABSTRACT When comparing economic well-being using income or expenditures, an equivalence scale is often used to adjust for differences in characteristics that affect needs. For example, a family of two is assumed to need more income than a single person, but not twice as much due to the economies of scale in consumption. In this study, we ask whether it is appropriate to use a common equivalence scale when comparing economic well-being across countries and/or time if consumption expenditure patterns differ? Based on an Engel methodology, we estimate equivalence scales for a diverse set of countries (Canada, France, Israel, Poland, South Africa, Switzerland, Taiwan, United States) in different time periods (1999–2012). We find considerable differences in economies of scale across countries, as well as increases over time. Notably, we find that economies of scale are larger than those implied by the widely accepted ‘square root of household size’ equivalence scale. Our results indicate that using a common equivalence scale to compare economic well-being across countries and/or time is misleading. Specifically, if economies of scale are understated (as is the case when using the ‘square root of household size’), the relative poverty experienced by larger versus smaller families is being overstated.

Differences across Place and Time in Household Expenditure Patterns: Implications for the Estimation of Equivalence Scales

When comparing economic well-being using income or expenditures, an equivalence scale is often used to adjust for differences in characteristics that affect needs. For example, a family of two is assumed to need more income than a single person, but not twice as much due to the economies of scale in consumption. In this study, we ask whether it is appropriate to use a common equivalence scale when comparing economic well-being across countries and/or time if consumption expenditure patterns differ?Based on an Engel methodology, we estimate equivalence scales for a diverse set of countries (Canada, France, Israel, Poland, South Africa, Switzerland, Taiwan, United States) in different time periods (1999-2012). We find considerable differences in economies of scale across countries, as well as increases over time. Notably, we find that economies of scale are larger than those implied by the widely accepted 'square root of household size' equivalence scale.Our results indicate that using a common equivalence scale to compare economic well-being across countries and/or time is misleading. Specifically, if economies of scale are understated (as is the case when using the 'square root of household size'), the relative poverty experienced by larger versus smaller families is being overstated.

Assessing differences in household needs: a comparison of approaches for the estimation of equivalence scales using German expenditure data

Equivalence scales are routinely applied to adjust the income of households of different sizes and compositions. Because of their practical importance for the measurement of inequality and poverty, a large number of methods for the estimation of equivalence scales have been proposed. Until now, however, no comprehensive comparison of current methods has been conducted. In this paper, we employ German household expenditure data to estimate equivalence scales using several parametric, semiparametric, and nonparametric approaches. Using a single dataset, we find that some approaches yield more plausible results than others while implausible scales are mostly based on linear Engel curves. The results we consider plausible are close to the modified OECD scale, and to the square root scale for larger households.

Differences Across Countries and Time in Household Expenditure Patterns: Implications for the Estimation of Equivalence Scales

Differences Across Countries and Time in Household Expenditure Patterns: Implications for the Estimation of Equivalence Scales

Direct Estimation of Equivalence Scales and More Evidence on Independence of Base

AbstractWe explore a direct approach to estimating household equivalence scales from income satisfaction data. Our method differs from previous approaches to using satisfaction data for this purpose in that it can be used to directly fit and evaluate closed‐form and non‐parametric equivalence scales of any desired form. Its flexibility makes it easy to consider specific aspects such as income dependence or more specific information on household composition (such as whether household members live in a partner relationship). We estimate and evaluate a number of scales used in the literature. If the equivalence scale is assumed to be independent of income and to depend only on household size, we do not reject the validity of the widely used square‐root scale at conventional significance levels. We also test GESE and GAESE restrictions (Donaldson and Pendakur, 2003, 2006) and investigate in detail to what extent household economies of scale depend on income. Our results suggest that the income dependence differs fundamentally across household types (rising economies of scale for ‘family’ households, falling economies of scale for multi‐adult households without children and no income dependence for other households).

Matching as Non-Parametric Preprocessing for the Estimation of Equivalence Scales

Abstract: Empirically analyzing household behavior usually relies on informal data preprocessing. That is, before an econometric model is estimated, observations are selected in such a way that the resulting subset of data is sufficiently homogeneous to be of interest for the specific research question pursued. In the context of estimating equivalence scales for household income, we use matching techniques and balance checking at this initial stage. This can be interpreted as a non-parametric approach to preprocessing data and as a way to formalize informal procedures. To illustrate this, we use German micro-data on household expenditure to estimate equivalence scales as a specific example. Our results show that matching leads to results which are more stable with respect to model specification and that this type of formal preprocessing is especially useful if one is mainly interested in results for specific subgroups, such as low-income households.

Engel's Equivalence Scales: Theory and Practice

The Engel’s approach is largely used to estimate equivalence scales. In this paper, we start by recalling the theoretical framework of this approach as well as the econometric methods which are usually adopted to estimate the Engel’s scales. We point out the different elements that may largely influence the estimated equivalence scales. Also, we discuss some possible pitfalls and how certain country contexts can lead to equivalence scale estimations which violate Engel's laws. For instance, this can be the case where extreme poverty is widespread. We show how the choice of the minimum expenditure threshold, the model’s specification, the demographic characteristics of the reference household and the reference age group can all substantially modify estimates of equivalence scales. The issues are illustrated using household data from Burundi and Mali.

Estimation of Equivalence Scales Under Convertible Rationing

This paper provides estimates of equivalence scales based on three Quadratic Almost Ideal type models of the food share with coupon resale, and on their extended versions. A chief feature of the models is the method of dealing with infrequency of zero expenditure on coupon goods through imputation. The models are applied to an Iranian wartime budget survey. The results indicate little scope for measurement error. However, they also reveal a strong cross‐section price effect, which proves robust to a variety of checks. The effect of price heterogeneity proves critical in identification of the scale estimates, providing relatively rare empirical evidence consistent with the Base Independence (BI) hypothesis. The BI food share estimates of cost of children have plausible values.

Increasing the price variation in a repeated cross section

Abstract Insufficient price variation seriously hampers many applications of consumer demand models. This paper examines the empirical performance of a potential remedy for this problem that was suggested by [Lewbel, A., 1989. Identification and estimation of equivalence scales under weak separability. Review of Economic Studies 56, 311–316], the construction of individual specific price indices for bundles of goods. These individual specific price indices allow for a population with heterogeneity in preferences for goods within a given bundle of goods. We confine ourselves to heterogeneous Cobb Douglas within bundle preferences, while between bundles, we allow for several parametric and even general nonparametric specifications. In a variety of settings, we show that such prices produce superior empirical results than the ones obtained through the traditional practice of using aggregate price indices. Our empirical analysis is based on the British Family Expenditure Survey data, and uses several categories of food. Both in parametric as well as nonparametric models, we obtain higher precision of estimates for parameters or functions, as well as economically more plausible results.

A Subjective Well-being Equivalence Scale for Mexico: Estimation and Poverty and Income-distribution Implications

The estimation of equivalence scales is crucial in cases where a well-being comparison of persons living under different household arrangements is needed: for example, to identify the poor, to calculate poverty rates and to estimate income inequality. In spite of the importance of equivalence scales for economic policy, there is little theoretical guidance on their estimation, and most empirical studies have been carried out in developed countries. Traditional estimation methods have been criticized because of their limitations for making welfare comparisons. This paper uses a subjective well-being approach to estimate equivalence scales. The approach provides an equivalence scale founded on economic satisfaction, which can be used to make welfare comparisons for persons living under different household arrangements—for example, in households of different sizes and with different age composition of household members. The empirical study has been carried out for Mexico using a large database. The implications of the subjective well-being scale for the assessment of poverty and income inequality in Mexico are shown on the basis of a national survey and by comparison with alternative scales.

Equivalence Scales, Poverty Lines and Subjective Data in Switzerland

The estimation of equivalence scales is an important aspect of any poverty or inequality analysis. Most of the research and policy recommendations rely on so called expert scales. Some of them are used in many countries, like the OECD scale. In Switzerland, recommendations of the CSIAS, the main body in charge of social norms, are followed by academics, as well as practitioners. Yet, the use of such equivalence scales should be validated by statistical results on the cost of children. To the author knowledge, all available studies on equivalence scales in Switzerland are based on demand behavior, a method with its own merits and shortcomings. We claim that subjective estimators may overcome the difficulties implied by traditional estimation of equivalence scales. Our results seem to indicate that the expert scales are too steep. However, our results are driven by the choice of the research instrument.

ARE EQUIVALENCE SCALES THE SAME FOR THE UNITED STATES AND CANADA?

This research uses microdata from the 1986 Statistics Canada Family Expenditure Survey and from the 1986–88 U.S. Consumer Expenditure Survey to estimate equivalence scales using a methodology which is very similar to that employed by Statistics Canada for the estimation of Low‐Income Cutoffs. Employing identical sample selection criteria and identically specified models, we find that equivalence scales for the two countries are not, in general, statistically different when estimated in the same way. The larger issue is then whether the two countries should choose the same methodology for the estimation of equivalence scales.

Household Equivalence Scales: Theory versus Policy?

Researchers agree that equivalence scales are intended to measure the variation in income needed to bring households of different composition to the same level. Researchers do not agree, however, about how the term household welfare is to be defined. This article traces the historical and philosophical development of three distinct definitions. When the conceptual bases of several popular methods for the estimation of equivalence scales are explored, it becomes clear that advances in theoretical rigor have not always worked to bring the literature closer to answering questions of policy concern.

Tne Effect of Household Composition on Consumption and Estimation of Equivalence Scales: A Survey

Tne Effect of Household Composition on Consumption and Estimation of Equivalence Scales: A Survey

Identification and Estimation of Equivalence Scales under Weak Separability

This paper shows that most methods of incorporating demographic variation into separable models can be represented in a form that is identical to Barten equivalence scales, except that the scales themselves depend on the exact mix of goods that comprise each group, as well as on demographic variables. This generalization of Barten scales is shown to be more plausible than ordinary scales, can be used to increase the efficiency of demand system estimation, and can overcome Muellbauer's under-identification result for cross-sectional estimation of equivalence scales.

A test of McClements' method for the estimation of equivalence scales

An attempt was made to determine equivalence scales for children by using the McClements technique to estimate the Prais-Houthakker expenditure model using Australian data. It was found that the method was used by McClements to identify the system introduced an unacceptable degree of subjective bias.