TOKYO — Asian markets shares were mixed on Tuesday, with trading closed in Tokyo and Seoul for New Year holidays. Australia’s S&P/ASX 200 in Sydney skidded 0.9% to 8,159.10. Hong Kong’s Hang Seng added nearly 0.1% to 20,059.95, while the Shanghai Composite lost 0.7% to 3,383.86 after Chinese manufacturing data seemed to show that Beijing’s stimulus measures have not done enough to boost the nation’s sluggish economy. China’s Purchasing Managers’ Index, based on a survey of factory managers, slipped to 50.1 in December from 50.3 the previous month, the National Bureau of Statistics said Tuesday. It was the third straight