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What I understand is that in this scenario,

the data is partitioned into Z weighting classes on the basis of variables observed for respondents and nonrespondents. $n_z$ represents the sample size, $r_z$ represents respondents in weighting class Z

The estimate of response probability $\phi _z = r_z/n_z$ , the estimate of weights for responding units $w_i = r(\pi_i\phi_i)^-1/\sum_{z=1}^{r}(\pi_z\phi_z)^-1$

If this is my test dataset

  Age       n         r            mean      Sd
  20-29     23        19           219       32
  30-39     37        29           222       37
  40-49     30        17           245       43
  50-59     15        6            270       41

How are the weights $w_i$ calculated ? I know $\phi_z = {19/23, 29/37, 17/30, 6/15}$ I am struggling a bit to understand how the weights are estimated here specifically the $\pi_i$ component.

Sorry if this is a moon shot but this reflects the gap in my understanding of these concepts. Any help or suggestion is appreciated.

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