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Andy Carroll was brought in by Allardyce as part of a very successful summer signing spree.
No matter how good a newly promoted team is, the manager and owners will always look to bring new players in ahead of the new season. The EPL offers financial benefits unavailable to the lower leagues, but it's important not to overspend.
Allardyce had already demonstrated his eye for the transfer market by bringing in Ricardo Vaz Te, both when he was at Bolton and then again at West Ham. Vaz Te delivered in the Championship and was a key figure in the Hammers' promotion.
In the summer transfer window, Allardyce again showed his ability to make the most of the resources available. The Irons brought in James Collins, Alou Diarra, George McCartney, Matt Jarvis, Modibo Maiga, Andy Carroll, Yossi Benayoun and Mohamed Diame. The combined price for these players: £20.55 million.
The ability to get that sort of value is something that the board will no doubt appreciate, but it's the caliber of players acquired for that price that is most impressive.
Jarvis had an impressive debut, but then suffered a minor injury and hasn't been at his best since. There is no doubting his ability, however, and he should eventually show the kind of form that was on display at Wolves last year. When both Carroll and Vaz Te are in the lineup, he should have no shortage of targets.
Carroll was not given enough of a chance to succeed at Liverpool, and Brendan Rodgers wasn't prepared to wait any longer. His hamstring injury was testament to his lack of match fitness, but Allardyce brought him in because his skill set lends him the ability to make a real contribution to the season.
The combination of experienced Premier League players and young talent brought in made a statement about Allardyce's intentions for the season. Although some of it can obviously be put down to the desire to save his job, the players now at Upton Park are not indicative of a simple survival plan.
Allardyce has assembled a team that will compete in every game this year. The next couple of months will be crucial, however, as the Hammers play Chelsea, Manchester United, Manchester City, Arsenal, Everton, Newcastle and Liverpool during that period.
Whatever happens, there's no denying the strides that the team has made since Allardyce took over. The team looks organised, committed and determined; attributes that will serve them well over the course of the season.
The odd defensive lapse still remains, and more injuries could yet prove costly, but West Ham have proved under Allardyce that they are a true Premier League team.