"There is still more work to do, " the trust said, adding that it was focusing on key improvements such as "a plan for every patient" and daily ward rounds by senior doctors, including at weekends.
It also noted that there were occasions when patient care was discussed in ward corridors and some sensitive and personal information was inappropriately displayed.
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According to the report, there have been eight separate patient safety incidents on the ward since January, two of those sparking "high-risk" investigations, linked to low staffing levels.
June Thornton, a patient at the LGI in the 1970s, told BBC Look North she had witnessed Savile come into her ward and abuse a female patient who was incapacitated.
"The patient was last seen on the ward at 18.40 BST on Thursday, " it said in a statement.
At the Victoria Infirmary one patient is affected, with one ward closed.
The spokesman for the Royal Liverpool and Broadgreen University Hospitals Trust said that "within 30 minutes of the patient last being seen on the ward, a hospital-wide search was launched and, within the hour, the police were informed".
Health officials insist patient care was not affected when a Ceredigion hospital ward was closed for two weekends in August due to staff shortages.
The short-stay care wards like the Brampton ward at NGH will target specific care for each patient, the trust said.
Hospital bosses are contacting 73 patients treated on the renal ward at Liverpool's Aintree University Hospital after one patient caught Hepatitis B from another.
Ward sisters will decide the mix of grades, mix of skills and mix of jobs on each ward so that nurses can maximise hours spent at the patient's bedside.
"In relation to this particular inquest, we've already made changes to observation and escort policies on the ward and given nurses additional protected time to write up patient notes, " he added.
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The family of a cancer patient, who died before being admitted to the RHV's admissions ward in January, also complained about the treatment she received.
The committee, sitting in Manchester, heard from defence witness Dr Marilyn Kerr, who was Mrs Ward's doctor up until Dr Kissen took her on as a patient in 1999.
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The Bradgate Unit said patient safety was its upmost priority and the Care Quality Commission had been satisfied by its ward staffing levels after a routine inspection in October.
The Bradgate Unit in Leicester said patient safety was its top priority and the Care Quality Commission had been satisfied by its ward staffing levels after a routine inspection in October.
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