Page 44 - Contributed Paper Session (CPS) - Volume 1

CPS798 Quindale E. C. et al.
1
̂
̂
2. Compute the mean ̂ () = ∑ , where () is the estimate of an

=1
indicator in resample , is the total number of households in a
province and is the estimate of an indicator in household .
̂

3. Repeat (A) and (B) 500 times.
4. Compute the bootstrap estimate of an indicator and the corresponding
bootstrap estimate of variance. The bootstrap estimate of an indicator,
̂
̂
=1
=1
= ∑ ̂ () = ∑ 500 ̂ () , ≡ bootstrap estimate of an indicator,
500
̂
() ≡estimate of an indicator in resample , and ≡ total number of
resamples ( = 500). Note that is just the average of the 500
̂

means computed in steps (2) and (3). The bootstrap estimate of
variance was computed as:
̂
̂
̂
∑ ( ̂ () − ) 2 ∑ 500 ( () − ) 2
2
= =1 = =1
500 − 1
̂
2
where: 2 ≡ bootstrap estimate of variance, ≡ bootstrap

̂
estimate of an indicator, () ≡estimate of an indicator in resample ,
and ≡ total number of resamples ( = 500) . The annualized
provincial totals was computed as the weighted average of the four
̂
̂
̂
quarters, that is, = ∑ 4 , = 1,2,3,4 () where: ≡

=1

estimate of for province , ≡ estimate of for quarter in
̂

1
̂
province , = 1 1 1 1 ≡ weight of quarter in province

( + + + )
̂ 1 ̂ 2 ̂ 3 ̂ 4
, ̂ ≡ bootstrap standard error of for quarter in province . Its
variance, ( ) = ̂ ( ) + ̂ ( ) + ̂ ( ) +
̂
2
̂
2
2
2
̂
̂
2
2
2
3
1
2
3
1

̂ ( ).
̂
2
2
4
4
2.3 Measure of Precision
The precision of the annualized provincial estimates for totals and rates
were evaluated using the coecient of variation. Estimates with coecient of
variations which are less than or equal to 10% implies precision, and hence,
reliable estimates.

3. Results
3.1 Simple Averaging Method
Table 1 shows the number of provinces/HUCs by LFS Indicators (Levels)
and CVs using simple averaging method. For employment, 91.4 percent of the
provinces in the country have CVs less than 10% and the remaining 8.6 percent
of the provinces have CVs between 10% and 20%. On the other hand, 26 cities
have CVs less than 10%, six (6) have CVs between 10% and 20% and one (1)
city with CV more than 20%. For unemployment, 7 out of 10 (or 70%) of the
provinces have CVs less than 10%, 23.5 percent of the provinces with CVs
between 10% and 20%, and the remaining five (5) provinces with CVs larger
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