- An exception to this are the Trimmed mean and Weighted median series, where the index numbers are published to four decimal places and the percentage changes are calculated from the index numbers rounded to four decimal places.

# Outputs and dissemination

## Introduction

13.1 Outputs and dissemination describes the information published by the Consumer Price Index (CPI) area of the ABS. It also explains how to interpret index numbers. For example, it explains the differences between index points and percentage changes, how to determine the major movers in the CPI, and how to construct index series from components of the CPI.

## Published statistics

13.2 The CPI is compiled quarterly by the ABS for quarters ending on 31 March, 30 June, 30 September, and 31 December each year. The data are released on the last Wednesday of the month following the end of the reference quarter, depending on public holidays, in the publication Consumer Price Index, Australia (cat. no. 6401.0).

13.3 The statistics are published in several different ways. The main mechanism for dissemination of ABS data is through the ABS website www.abs.gov.au. The website provides free of charge:

- the main findings from the statistical releases;
- a version of the publications in PDF format which may be downloaded;
- a range of time series spreadsheets containing all available indexes in Microsoft Excel format; and
- a range of analytical measures of inflation including All groups CPI, seasonally adjusted and All groups CPI excluding food and energy.

### Quarterly and annual data

13.4 The CPI is published for both quarters and financial years. The index number for a financial year is the simple arithmetic average (mean) of the index numbers for the four quarters of that year. Index numbers for calendar years are not published by the ABS, but can be calculated as the simple arithmetic average of the quarterly index numbers for the year concerned.

### Release of CPI data

13.5 To ensure impartiality and integrity of ABS statistics, it is standard ABS policy and practice to make all our statistical releases available on our website to all government, commercial and public users of our statistics, simultaneously from 11.30 am (Canberra time) on the day of their release. Prior to 11.30 am, all ABS statistics are treated as confidential and regarded as 'under embargo'.

13.6 However, given the high level of market and community interest in the CPI, it is important from a 'public good' perspective that key ministers are able to respond in an informed manner to requests from the media for early comment on the released statistics, thereby avoiding any inadvertent misinterpretation. For this purpose, a secure 'lockup' facility is provided to enable authorised government officials and ministerial staff time to analyse the release and develop a briefing to be provided to relevant ministers after lifting of the embargo.

13.7 Authorised persons attending a lockup are required to remain in a secure room managed by ABS staff, and are prohibited from communicating any information from the statistical release to anyone outside the room, until the embargo is lifted at 11.30 am (Canberra time). Attendees at the lockup are also required to sign security undertakings which include provision for prosecution under the Crimes Act 1914 for anyone who breaches the conditions for attending the lockup. A list of products approved for provision to authorised persons via ABS-hosted lockups on the morning of the day of their release is available on the ABS website on the 'Policy on Pre-Release Access to ABS Statistics and Publications' in the 'About Us' section.

### Revisions

13.8 The ABS strives for accuracy in all of its publications. The accuracy of the CPI is of particular importance to the ABS, and in recognition of the use of the CPI in determining economic policy and in contract price indexation, the ABS makes an effort to eliminate the need for revision. However, if revision is required, the ABS's revisions policy is based on the Resolution on Consumer Price Indices issued by the International Labour Organization in 2003:

"When it is found that published index estimates have been seriously distorted because of errors or mistakes made in their compilation, corrections should be made and published. Such corrections should be made as soon as possible after detection according to publicly available policy for correction. Where the CPI is widely used for adjustment purposes for wages and contracts, retrospective revisions should be avoided to the extent possible."

## Interpreting index numbers

### Index points and percentage changes

13.9 Movements in indexes from one period to any other period can be expressed either as changes in index points or as percentage changes. The following example illustrates these calculations for the All groups CPI (weighted average of the eight capital cities) between December quarter 2017 and the December quarter 2016. The same procedure is applicable for any two periods.

Index number for the All Groups CPI in December quarter 2017 = 112.1

less index number for December quarter 2016 = 110.0

Change in index points = 2.1

Percentage change 2.1/110.0 x 100 = 1.9%

13.10 For most applications, movements in price indexes are best calculated and presented as percentage changes. Percentage change allows comparisons in movements that are independent of the level of the index. For example, a change of 2.0 index points when the index number is 120.0 is equivalent to a change of 1.7%. But if the index number were 80.0, a change of 2.0 index points would be equivalent to a change of 2.5%, a significantly different rate of price change. Only when evaluating change from the index reference period of the index will the points change be numerically identical to the percentage change.

13.11 The percentage change between any two periods must be calculated, as in the example above, by direct reference to the index numbers for the two periods. Adding the individual quarterly percentage changes will not result in the correct measure of longer term percentage change. That is, the percentage change between (say) the June quarter of one year and the June quarter of the following year will not necessarily equal the sum of the four quarterly percentage changes. The error becomes more noticeable the longer the period covered, and the greater the rate of change in the index. This can readily be verified by starting with an index of 100.0 and increasing it by 10% (multiplying by 1.1) each period. After four periods, the index will equal 146.4 delivering an annual percentage change of 46.4%, not the 40.0% obtained by adding the four quarterly changes of 10.0%.

13.12 Although the CPI is compiled and published as a series of quarterly index numbers, its use is not restricted to the measurement of price change between quarters. A quarterly index number can be interpreted as representing the average price during the quarter (relative to the index reference period), and index numbers for periods spanning more than one quarter can be calculated as the simple (arithmetic) average of the quarterly indexes. For example, an index number for the calendar year 2017 is the arithmetic average of the index numbers for the March, June, September and December quarters of 2017.

13.13 This characteristic of index numbers is particularly useful. It allows average prices in one year to be compared with those in any other year. It also enables prices in (say) the current quarter to be compared with the average prices prevailing in a previous year.

13.14 The quarterly change in the All groups CPI represents the weighted average price change of all the items included in the CPI. Publication of index numbers and percentage changes for components of the CPI are useful in their own right. However, these data are often not sufficient to enable important contributors to total price change to be reliably identified. What is required is some measure that encapsulates both an item’s price change and its relative importance in the index.

13.15 If the All groups CPI index number is thought of as being derived as the weighted average of the indexes for all its components, then in concept the index number for a component multiplied by its weight to the All groups CPI index results in what is called its points contribution. This relationship only applies if all the components have the same reference base, and there has been no linking of component series since the index reference period. However, the Australian CPI is often linked several times in between updating the index reference period (currently 2011-12), and therefore a more practical method for calculating points contribution is used.

13.16 The published points contributions are calculated by the ABS using the expenditure aggregates. In any period, the points contribution of a component to the All groups CPI index number is calculated by multiplying the All groups CPI index number for the period by the expenditure aggregate for the component in that period, and dividing by the All groups CPI expenditure aggregate for that period. Calculating points contribution using published data may give a different result to the points contribution derived using expenditure aggregates. Also, building up from the individual products' points contributions may give a different result from taking the All groups CPI index number and subtracting the points contributions for those products. The reasons for these differences are the different levels of precision used in the calculations.

13.17 The change in a component item’s points contribution from one period to the next provides a direct measure of the contribution to the change in the All groups CPI resulting from the change in that component's price. In addition, information on points contribution, and change in points contribution, is of immense value when analysing sources of price change, and for answering what-if type questions. Consider the following data extracted from the December quarter 2017 CPI publication.

Index number | Percentage change | Points contribution | Points change | |||
---|---|---|---|---|---|---|

Item | Sep qtr 2017 | Dec qtr 2017 | Sep qtr 2017 | Dec qtr 2017 | ||

All groups | 111.4 | 112.1 | 0.6 | 111.4 | 112.1 | 0.7 |

Tobacco EC | 185.8 | 201.6 | 8.5 | 2.90 | 3.15 | 0.25 |

13.18 Using only the index numbers themselves, the most that can be said is that between the September and December quarters 2017, the price of Tobacco increased by more than the overall CPI (by 8.5% compared with an increase in the All groups CPI of 0.6%). The additional information on points contribution and points change can be used to:

- Calculate the effective weight for Tobacco in the September and December quarters (given by the points contribution for Tobacco divided by the All groups CPI index). For September, the weight is calculated as 2.90/111.4 x 100 = 2.60% and for December as 3.15/112.1 x 100 = 2.81%. Although the underlying quantities are held fixed, the effective weight in expenditure terms has increased due to the prices of Tobacco increasing by more than the prices of all other items in the CPI basket (on average).
- Calculate the percentage increase that would have been observed in the CPI if all prices other than those for Tobacco had remained unchanged (given by the points change for Tobacco divided by the All groups CPI index number in the previous period). For December quarter 2017 this is calculated as 0.25/111.4 x 100 = 0.22%. In other words, a 8.5% increase in Tobacco prices in December quarter 2017 would have resulted in an increase in the overall CPI of 0.2 percentage points.
- Calculate the average percentage change in all other items excluding Tobacco (given by subtracting the points contribution for Tobacco from the All groups CPI index in both quarters and then calculating the percentage change between the resulting numbers which represent the points contribution of the ‘other’ items). For the above example, the numbers for All groups CPI excluding Tobacco are: September, 111.4 - 2.90 = 108.5; December, 112.1 - 3.15 = 109.0; and the percentage change (109.0 - 108.5)/108.5 x 100 = 0.5%. In other words, prices of all items other than Tobacco increased by 0.5% on average between the September and December quarter 2017.
- Estimate the effect on the All groups CPI of a forecast change in the price of one of the items (given by applying the forecast percentage change to the item's points contribution and expressing the result as a percentage of the All groups CPI index number). For example, if prices of Tobacco were forecast to increase by 25% in the March quarter 2018, then the points change for Tobacco would be 3.15 x 0.25 = 0.79, which would deliver an increase in the All groups CPI index of 0.79/112.1 x 100 = 0.7%. In other words, a 25% increase in Tobacco prices in March quarter 2018 would have the effect of increasing the CPI by 0.7%. Another way commonly used to express this impact is 'Tobacco' would contribute 0.7 percentage points to the change in the CPI.

13.19 The following questions and answers illustrate the uses that can be made of the CPI.

##### Question 1:

What would $200 in the calendar year 2012 be worth in the December quarter 2017?

##### Response 1:

This question is best interpreted as asking ‘How much would need to be spent in the December quarter 2017 to purchase what could be purchased in 2012 for $200?’ As no specific commodity is mentioned, what is required is a measure comparing the general level of prices in the December quarter 2017 with the general level of prices in calendar year 2012. The All groups CPI would be an appropriate choice.

Because CPI index numbers are not published for calendar years, two steps are required to answer this question. The first is to derive an index for calendar year 2012. The second is to multiply the initial dollar amount by the ratio of the index for December quarter 2017 to the index for calendar year 2012.

The index for calendar year 2012 is obtained as the simple arithmetic average of the quarterly indexes for March (99.9), June (100.4), September (101.8) and December (102.0) 2012 giving 101.0 rounded to one decimal place. The index for the December quarter 2017 is 112.1.

The answer is then given by:

$200 x 112.1/101.0 = $221.98.

##### Question 2:

Household Expenditure Survey data show that average weekly expenditure per household on Food and non-alcoholic beverages increased from $204.20 in 2009-10 to $236.97 in 2015-16 (i.e. an increase of 16.0%). Does this mean that households, on average, purchased 16.0% more Food and non-alcoholic beverages in 2015-16 than they did in 2009-10?

##### Response 2:

This is an example of one of the most valuable uses that can be made of price indexes. Often the only viable method of collecting and presenting information about economic activity is in the form of expenditure or income in monetary units (e.g. dollars). While monetary aggregates are useful in their own right, economists and other analysts are frequently concerned with questions related to volumes, for example, whether more goods and services have been produced in one period compared with another period. Comparing monetary aggregates alone is not sufficient for this purpose as dollar values can change from one period to another due to either changes in quantities or changes in prices (most often a combination).

13.20 To illustrate this, consider a simple example of expenditure on oranges in two periods. The product of the quantity and the price gives the expenditure in a period. Suppose that in the first period ten oranges were purchased at a price of $1.00 each, and in the second period fifteen oranges were purchased at a price of $1.50 each. Expenditure in period 1 would be $10.00 and in period 2 $22.50. Expenditure has increased by 125%, yet the volume (i.e. the number of oranges) has only increased by 50% with the difference being accounted for by a price increase of 50%. In this example all the price and quantity data are known, so volumes can be compared directly. Similarly, if prices and expenditures are known, quantities can be derived.

13.21 However what if the actual prices and quantities are not known? If expenditures are known, and a price index for oranges is available, the index numbers for the two periods can be used as if they were prices to adjust the expenditure for one period to remove the effect of the price change. If the price index for oranges was equal to 100.0 in the first period, the index for the second period would equal 150.0. Dividing expenditure in the second period by the index number for the second period, and multiplying this result by the index number for the first period provides an estimate of the expenditure that would have been observed in the second period had the prices remained as they were in the first period. This can easily be demonstrated using the oranges example:

$22.50/150.0 x 100.0 = $15.00 = 15 x $1.00

13.22 So, without ever knowing the actual volumes (quantities) in the two periods, the adjusted second period expenditure ($15.00), can be compared with the expenditure in the first period ($10.00) to derive a measure of the proportional change in volumes: $15/$10 = 1.50, which equals the ratio obtained directly from the comparison of the known volumes.

13.23 We now return to the question on expenditure on Food and non-alcoholic beverages recorded in the HES in 2009-10 and 2015-16. As the HES data relates to the average expenditure of Australian households, the ideal price index would be one that covers the retail prices of Food and non-alcoholic beverages for Australia as a whole. The price index which comes closest to meeting this ideal is the index for the Food and non-alcoholic group of the CPI for the weighted average of the eight capital cities. The Food and non-alcoholic index number for 2009-10 is (94.3 + 95.7 + 96.7 + 96.4)/4 = 95.8 and for 2015-16 is (104.0 + 104.3 + 104.1 + 103.8)/4 = 104.1. Using these index numbers, recorded expenditure in 2015-16 ($236.97) can be adjusted to 2009-10 prices as follows:

$236.97/104.1 x 95.8 = $218.08

13.24 The adjusted 2015-16 expenditure of $218.08 can then be compared to the expenditure recorded in 2009-10 ($204.20) to deliver an estimate of the change in volumes. This indicates a volume increase of 6.8%.

### Precision and rounding

13.25 To ensure consistency from one publication to the next, the ABS uses a set of rounding conventions or rules for calculating and presenting the results. These conventions strike a balance between maximising the usefulness of the information for analytical purposes, and retaining the underlying precision of the estimates. Users need to consider these conventions when using the CPI for analytical or other special purposes.

13.26 Index numbers are always published relative to a base of 100.0. Index numbers and percentage changes are always published to one decimal place, and the percentage changes are calculated from the rounded index numbers¹. Index numbers for periods longer than a single quarter (e.g. for financial years) are calculated as the simple arithmetic average of the rounded quarterly index numbers.

13.27 Points contributions are published to two decimal places, except the All groups CPI which is published to one decimal place. Change in points contributions is calculated from the rounded points contributions. Rounding differences can arise in the points contributions where different levels of precision are used.