(For a Reuters live blog on U.S., UK and European stock markets, click LIVE/ or type LIVE/ in a news window)*Investors await CPI data Thursday*Indexes up: Dow 0.4%, S&P 500 0.5%, Nasdaq 0.8%NEW YORK, Jan 10 (Reuters) - U.S. stocks edged higher in afternoon trading Tuesday, led by big growth shares, on relief that Federal Reserve Chair Jerome Powell refrained in a speech from commenting on rate policy.In his first public appearance of the year,Powell said at a forum sponsored by the Swedish central bank that the Fed's independence is essential for it to battle inflation.Recent comments by other Fed officials have supported the view that the central bank needs to remain aggressive in raising interest rates to control inflation. Fed Governor Michelle Bowman said on Tuesday the bank will have to raise interest rates further to combat high inflation.Investors anxiously awaited the U.S. consumer prices index report Thursday, which is expected to show some moderation in year-on-year prices in December."There are some indications that inflation is slowing significantly. What investors are really looking for is a gap down in major inflation data that could probably get the Fed's attention," said Tim Ghriskey, senior portfolio strategist at Ingalls & Snyder in New York.Traders are betting on a 25-basis point rate hike at the Fed's upcoming policy meeting in February.Communications services and consumer discretionary were among the day's best performers among sectors.The Dow Jones Industrial Average rose 119.1 points, or 0.36%, to 33,636.75, the S&P 500 gained 20.54 points, or 0.53%, to 3,912.63 and the Nasdaq Composite added 82.96 points, or 0.78%, to 10,718.61.Amazon.com Inc and Microsoft Corp gave the S&P 500 its biggest boost.Some investors are hoping for signs that the Fed may soon take a break after raising the federal funds rate seven times in 2022.The World Bank on Tuesday slashed its 2023 growth forecasts on Tuesday to levels teetering on the brink of recession for many countries as the impact of central bank rate hikes intensifies.Broadcom Inc shares fell, a day after a report that Apple Inc plans to replace a Broadcom chip from its devices with an in-house design in 2025.Advancing issues outnumbered decliners on the NYSE by a 2.06-to-1 ratio; on Nasdaq, a 2.31-to-1 ratio favored advancers.The S&P 500 posted two new 52-week highs and no new lows; the Nasdaq Composite recorded 54 new highs and 25 new lows. (Additional reporting by Ankika Biswas, Amruta Khandekar and Johann M Cherian in Bengaluru; Editing by Shinjini Ganguli, Shounak Dasgupta and Richard Chang)