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vFkZ'kkL=k esa lkaf[;dh; fof/;k¡




                    uksV          y?kq jhfr esa x.ku fØ;k dks ljy cukus osQ fy, y?kqx.kdksa dk iz;ksx fd;k tkuk pkfg,] prqFkZ lw=k dks
                                  y?kqx.kdksa }kjk fuEu izdkj gy fd;k tk,xkμ
                                                      r = – [Antilog {log 4400 – ½ (log .6600 + log .6421)}]
                                                       = – [Antilog {3.6435 – ½ (3.8195 + 3.8076)}]
                                                       = – [Antilog (3.6435 – 3.8136)]

                                                       = – [Antilog ( 1 8299.  )]
                                                       = – 0.6759
                                  oxhZÑr Js.kh esa lglEcU/ (Correlation in Grouped Series)

                                  oxhZÑr Jsf.k;ksa esa Hkh dkyZ fi;lZu osQ lglEcU/ xq.kkad dh x.kuk dh tk ldrh gSA bu Jsf.k;ksa esa vusd dks"B
                                  (cells) gksrs gSa ftuesa X ,oa Y nksuksa Jsf.k;ksa dh mHk;fu"B (common) vko`fr;k¡ fy[kh tkrh gSaA oxhZÑr lead
                                  lkj.kh dks f}pj vko`fr lkj.kh (Bivariate Frequency Table) ;k lglEcU/ lkj.kh (Correlation Table) Hkh
                                  dgk tkrk gSA lglEcU/ lkj.kh dks ns[kus ls Hkh lglEcU/ dh mifLFkfr ,oa fn'kk dk vuqeku yxk;k tk ldrk
                                  gSA ;fn vko`fr;k¡ fupys ck,¡ dksus ls Åij nk,¡ dksus dh vksj iSQyh gqbZ gksa rks Í.kkRed lglEcU/ gksxk] Åij
                                  ck,¡ dksus ls uhps nk,¡ dksus dh vksj iSQyh gqbZ gks rks Í.kkRed lglEcU/ gksxk] ;fn vko`fr;ksa osQ vuqfoU;kl
                                  esa fdlh izdkj dk Øe u gks rks lglEcU/ dk vHkko gksrk gSA lglEcU/ lkj.kh dks fuEukafdr mnkgj.k }kjk
                                  Li"V fd;k tk ldrk gSμ
                                                                   lglEcU/ lkj.kh

                                                                 Age of Wives in Years
                                        Age of                                                             Total
                                       husbands      10–20      20–30      30–40     40–50      50–60
                                       in years
                                       15—25           6          3                                          9
                                       25—35           3          16        10                              29
                                       35—45                      10        15          7                   32
                                       45—55                                 7         10         4         21
                                       55—65                                            4         5          9
                                        Total          9          29        32         21         9        100


                                  mijksDr lkj.kh esa 15&25 o"kZ osQ 6 ifr ,sls gSa ftudh ifRu;ksa dh vk;q 10&20 o"kZ gS] ,oa 3 ifr ,sls gSa
                                  ftudh ifRu;ksa dh vk;q 20&30 o"kZ gSA blh izdkj 55&65 o"kZ osQ 4 ifr ,sls gSa ftudh ifRu;ksa dh vk;q
                                  40&50 o"kZ gS rFkk 5 ifr ,sls gSa ftudh ifRu;ksa dh vk;q 50&60 o"kZ gSA 10&20 o"kZ dh vk;q dh oqQy ifRu;k¡
                                  9 gSa ftuesa ls 6 osQ ifr 15&25 o"kZ vk;q oxZ esa rFkk 3 osQ ifr 25&35 o"kZ dh vk;q oxZ esa gSaA mDr lkj.kh
                                  esa vko`fr;ksa dk iSQyko Åij ck,¡ dksus ls uhps nkfgus dksus dh vksj gS] vr% /ukRed lglEcU/ izdV gksrk
                                  gSA bl lglEcU/ lkj.kh osQ iz;ksx }kjk gh oxhZÑr Jsf.k;ksa esa lglEcU/ xq.kkad dks x.kuk dh tkrh gSA

                                  lglEcU/ xq.kkad dh x.kuk izfØ;k
                                  oxhZÑr lead Jsf.k;ksa esa lglEcU/ xq.kkad dh x.kuk fuEu izdkj dh tkrh gSμ
                                     (i) lglEcU/ lkj.kh osQ nk;ha vksj pkj [kkus ,oa uhps dh vksj rhu [kkus cuk, tkrs gSaA
                                    (ii) nk;ha vksj osQ izFke [kkus esa y Js.kh osQ dfYir ekè; ls izkIr fopyu (dy) fy[ks tkrs gSa vkSj uhps dh



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